Question

Part A

Answer 1

The rate of change is $2 per hour and the initial value is $26.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the cleaning cost for x hours.

From the graph, using the points (1, 28) and (3, 44):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-28=\frac{44-28}{3-1} (x-1)\\\\y=2x+26$

Therefore the rate of change is $2 per hour and the initial value is $26.

Find out more about linear equation at: brainly.com/question/25737132