Question

Jane takes a job at the local Marcy's department store. Her job pays $9 per hour. The graph shows how much she earns for working from 0 to 40 hours in a week.

Answer 1

- The question tells us that Jane gets paid $9 per hour. This means that for every hour she makes $9.

- Thus, we have that:

For 1 hour, she makes $9

For 2 hours, she makes $9 * 2 = $18

For 3 hours, she makes $9 * 3 = $27

And so on...

- This means that we can generalize for x hours.

For x hours, she makes

`\$9* x=9x`

- We can apply this formula to solve the question as follows:

Question A:

`\begin{gathered} (30,?) \\ x=30hours \\ She\text{ makes }9*30=270 \\ Thus\text{ the answer is:} \\ (30,270) \\ \\ (?,180) \\ she\text{ makes \$180 for x hours} \\ 9x=180 \\ x=(180)/(9)=20 \\ Thus,\text{ the answer is:} \\ (20,180) \\ \\ (40,?) \\ x=40hours \\ She\text{ makes }9*40=360 \\ Thus,\text{ the answer is:} \\ (40,360) \end{gathered}`

Question B:

`\begin{gathered} For\text{ 35 hours,} \\ x=35 \\ She\text{ makes }9*35=315 \\ Thus,\text{ the answer is:} \\ \$315 \end{gathered}`

Question C:

`\begin{gathered} \text{ She made \$255} \\ Thus, \\ 9x=255 \\ \therefore x=(255)/(9) \\ \\ x=25hours \end{gathered}`

Question D:

`\begin{gathered} She\text{ worked for 15 hours.} \\ x=15 \\ Thus,\text{ She should make:} \\ 9x=9*15=\$135 \end{gathered}`

- This means that the claim that she makes $155 for working 15 hours is WRONG