Use the image to answer the question.

Question

An illustration shows quadrant one of a coordinate plane where the x-axis and y-axis range from 0 to 6 in increments of 1. The y-axis is titled total cost in dollars and the x-axis is titled time worked in minutes. A solid line, labeled A, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 3 comma 6 right parenthesis. A dotted line, labeled B, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis.

How many minutes would it take for you to make $20 at job A?

(1 point)
Responses

2 minutes
2 minutes

1 minute
1 minute

10 minutes
10 minutes

20 minutes
20 minutes
Remaining Attempts : 3
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Answer 1

To find out how many minutes it would take to make $20 at job A, we first need to determine the rate of pay for job A based on the information provided in the graph.

Job A passes through the points (0, 0) and (3, 6), which means:

• At 0 minutes, you earn $0.
• At 3 minutes, you earn $6.

From this, we can calculate the pay rate per minute:

\[ \text{Pay rate} = \frac{\text{Total earnings}}{\text{Total time}} = \frac{6}{3} = 2 \text{ dollars per minute} \]

Now, to find out how many minutes it would take to make $20, we can use the formula:

\[ \text{Time} = \frac{\text{Total earnings}}{\text{Pay rate}} = \frac{20}{2} = 10 \text{ minutes} \]

Therefore, it would take 10 minutes to make $20 at job A.

The correct response is: 10 minutes.