Question

\text{Time (hours)}Time (hours) \text{Earnings (dollars)}Earnings (dollars) 4 \$70.8099 \$159.30 28 \$495.60 How long does it take him to make \$132.75

Answer 1

7.5 hrs.

Hope this helps! Good luck! :)

Answer 2

7.5 hrs.

Explanation:

First we need to find how much Magan earns per hour using the slope-intercept form: y = mx + b

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

We will be using: (4, 70.80) and (9, 159.30) to find the slope of this table..

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(159.30-70.80)/(9-4) \\\\m=(88.50)/(5) \\\\m=17.7`

y = mx + b

y = 17.7x + b

I will be using (4, 70.80) to find the value of b

(4, 70.80)

y = 17.7x + b

70.80 = 17.7(4) + b

70.80 = 70.80 + b

-70.80 -70.80

0 = b

y = 17.7x + b ==> y = 17.7x + 0 = OR y = 17.7x (since the value of b is 0)

The question wants us to find out how long it took Magan to make $132.75

y = 17.7x

132.75 = 17.7x

/17.7 /17.7

7.5 = x

This means that it took him 7.5 (seven and a half) hours to make $132.72

*View the attached graph to confirm the answer*

Hope this helps!