Identify Variables And Write Equations From A Graph Problems

7 questions

#1 of 7:Mild

Identify variables and write equations from a graph

<p>Robert planted a tomato plant in his garden. He measured the plant's height every week. The graph represents the relationship between the number of weeks (`w`) and the plant's height (`g` inches). </p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "Time (weeks)", "y_label": "Plant Height (inches)", "title": "Tomato Plant Height", "x_axis_name": "w", "y_axis_name": "g" }, "points": [ { "id": 1, "x": 1, "y": 6, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 2, "y": 7, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 3, "y": 8, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables.</li><li>Write an equation that represents the relationship between the two variables. </li></ul>

#2 of 7:Mild

Identify variables and write equations from a graph

<p>Lara has a goal to read a certain number of books this year. The graph represents the relationship betwen the number of weeks (`w`) that have passed this year and the number of books (`b`) that Lara has completed. </p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "Time (weeks)", "y_label": "Number of Books", "title": "Books Read by Lara This Year", "x_axis_name": "w", "y_axis_name": "b" }, "points": [ { "id": 1, "x": 2, "y": 6, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 3, "y": 7, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 4, "y": 8, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li>Write an equation that represents the relationship between the two variables.</li></ul>

#3 of 7:Medium

Identify variables and write equations from a graph

<p>When her homework is finished, Taytum is allowed to watch a certain maximum number of hours of television each week. The graph represents the relationship between the number of weeks (`w`) and the maximum number hours of television that Taytum can watch(`h`). </p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 50, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 5, "x_label": "Time (weeks)", "y_label": "Time (hours)", "title": "Hours of Television Taytum Watches", "x_axis_name": "w", "y_axis_name": "h" }, "points": [ { "id": 1, "x": 2, "y": 20, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 3, "y": 30, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 4, "y": 40, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li>Write an equation that represents the relationship between the two variables.</li></ul>

#4 of 7:Medium

Identify variables and write equations from a graph

<p>Emma is taking piano lessons. Emma practices her piano every day. The graph represents the relationship between the number of days (`d`) that Emma practices and the total number of minutes (`m`) practiced. </p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 120, "x_max": 12, "cell_size": 20, "x_interval": 1, "y_interval": 10, "x_label": "Time (days)", "y_label": "Practice Time (minutes)", "title": "Emma's Piano Practice Time", "x_axis_name": "d", "y_axis_name": "m" }, "points": [ { "id": 1, "x": 4, "y": 80, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 5, "y": 100, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 6, "y": 120, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li> Identify the independent and dependent variables.</li><li>Write an equation that represents the relationship between the two variables.</li></ul>

#5 of 7:Medium

Identify variables and write equations from a graph

<p>The graph represents the relationship between the number of miles that you are away from the ligntning (`m`) and the number seconds that it takes to hear thunder after a lightning strike (`n`).</p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 50, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 5, "x_label": "Distance from Lightning (miles)", "y_label": "Time (seconds)", "title": "Distance You Are Away From Lightning ", "x_axis_name": "m", "y_axis_name": "n" }, "points": [ { "id": 1, "x": 2, "y": 10, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 3, "y": 15, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 4, "y": 20, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li>Write an equation that represents the relationship between the two variables.</li></ul>

#6 of 7:Spicy

Identify variables and write equations from a graph

<p>A stationary store is having a "back-to-school" sale on pencils. The graph represents the relationship between the number of pencils purchased (`n`) and the total cost of the pencils (`d`). </p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "Number of Pencils", "y_label": "Total Cost (dollars)", "title": "Cost of Pencils", "x_axis_name": "n", "y_axis_name": "d" }, "points": [ { "id": 1, "x": 4, "y": 2, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 6, "y": 3, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 8, "y": 4, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li> Write an equation that represents the relationship between the two variables.</li></ul>

#7 of 7:Spicy

Identify variables and write equations from a graph

<p>Mylah walks every day during her lunch. She walks the same trail in the park each day. The graph represents the relationship between the number of days Mylah has walked (`t`) and the distance she has traveled (`d`).</p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 50, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 5, "x_label": "Time (days)", "y_label": "Distance (miles)", "title": "Distance Mylah Walks", "x_axis_name": "t", "y_axis_name": "d" }, "points": [ { "id": 1, "x": 2, "y": 5, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 4, "y": 10, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 6, "y": 15, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li>Write an equation that represents the relationship between the two variables.</li></ul>

Variables are the unknown quantities in an equation. These can be from a linear equation with one variable, linear equation with two variables and so on.  The variable to which we assign a value is referred to as the independent variable, and the other variable is referred to as the dependent variable because its value is dependent on the independent variable. When two linear equations are written the same slope it shows that they are parallel and if the product of two slopes is -1 then two linear equations are referred to as perpendicular to each other.

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Grade 6
Expressions, Equations, And Inequalities
6.EE.C.9

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What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”