Question $22$ / $22$ $\newline$ SUBMIT $\newline$ BOOKMARK $\newline$ jacob earns an hourly wage at the grocery store. The amount of his paycheck depends on how many hours he works. $\newline$ Which graph represents the amount of money he earns compared to the hours he works? $\newline$ (A) $\newline$ B $\newline$ (c) $\newline$ (D)

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Q. Question

22

22

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SUBMIT

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BOOKMARK

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jacob earns an hourly wage at the grocery store. The amount of his paycheck depends on how many hours he works.

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Which graph represents the amount of money he earns compared to the hours he works?

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(A)

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(c)

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(D)

Direct Variation Relationship: Since Jacob earns an hourly wage, the relationship between the hours he works and the amount of money he earns is a direct variation. This means that as the number of hours worked increases, the amount of money he earns also increases proportionally. The graph representing this relationship should be a straight line that passes through the origin $(0,0)$ , because if Jacob works $0$ hours, he earns $\$0$ . The slope of the line should be positive, reflecting the fact that more hours worked results in more money earned.
Characteristics of Correct Graph: Without the actual graphs labeled $(A)$ , $(B)$ , $(C)$ , and $(D)$ , we cannot visually inspect them to determine which one correctly represents the situation. However, we can describe the correct graph. The correct graph should show a straight line with a positive slope starting from the origin. This line should continue to rise to the right, indicating that as the number of hours ( $x$ -axis) increases, the amount of money earned ( $y$ -axis) also increases.
Identifying Incorrect Graphs: If any of the graphs provided does not start at the origin or if it shows a curve, a horizontal line, or a line with a negative slope, then it does not correctly represent the situation of Jacob earning an hourly wage. The correct graph must be a straight line with a positive slope that starts at the origin.