Answered

Part A
A cleaning service charges an initial fee plus an hourly rate. The total cost for different
numbers of hours, including the initial fee, is shown on the graph.
Cleaning Costs
y
90
80
70
A 60
(3, 44)
(2, 36)
50
8 40
30
20
10
0
(1, 28)
x
1 2 3 4
Number of Hours
Find and interpret the rate of change.
The rate of change is
so the hourly rate is $
Find and interpret the initial value.

Part A A Cleaning Service Charges An Initial Fee Plus An Hourly Rate The Total Cost For Different Numbers Of Hours Including The Initial Fee Is Shown On The Gra class=

Answer :

RAPHEALNWOBIGO

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):

[tex]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[/tex]

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

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