Answer:
7.5 hrs.
Step-by-step explanation:
First we need to find how much Magan earns per hour using the slope-intercept form: y = mx + b
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We will be using: (4, 70.80) and (9, 159.30) to find the slope of this table..
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{159.30-70.80}{9-4} \\\\m=\frac{88.50}{5} \\\\m=17.7[/tex]
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!
