Question

PLEASE HELP..................James is paid $18 an hour at his new job. He wishes to graph his total pay T, as a function of the number of hours, h. James works between 25 and 40 hours each week. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least______ , and the h-axis of his graph should go from 0 to at least_______ .

Answer 1

450 AND 50.................

Answer 2

Answer

T-axis of his graph should go from 0 to at least 720, and the h-axis of his graph should go from 0 to at least 40.

Explanation

We know form our problem that $T$ is the total pay, $h$ is the number of hours, and $18 is the rate per hour, so putting it all into an equation we get:

$T=18h$

We also know that James works between 25 and 40 hours each week, so we can replace the number of hours in our equation to get how much he can make per week:

- For $h=25$

$T=18h$

$T=18(25)$

$T=450$

- For $h=40$

$T=18h$

$T=18(40)$

$T=720$

Now we know that he can make between $450 and $720 working between 25 and 40 hours per week. So, to best show this information the T-axis should go from 0 to at least 720; otherwise, we won't be able to show values between $450 and $720. Similarly, the h-axis should go form 0 to at least 40; otherwise, we wont be able to show values between 25 and 40 hours.