Identify Variables And Write Equations From A Graph Problems

<p>Robert planted some tomato plants in his garden. He measures his plants each week. The graph represents the relationship between the number of weeks (`w`) and the average number of inches that the plants have grown (`g`). </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 Growth (inches)", "title": "Tomato Plant Growth", "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>

<p>Lara is tracking how many books she reads this year. The graph represents the relationship between 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>

<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>

<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>

<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>

<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>

<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>