Question

2 8 15 8. An interior designer charges customers an initial consultation fee plus an hourly rate. The table shows the linear relationship
between x, the number of hours, and y, the
total cost of hiring the designer.
HOURS
TOTAL COST ($)
125
235
565
950
3 Find the rate of change.
What does the rate of change represent in the context of the situation?
4

Answer 1

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the total cost of hiring for x hours. Hence:

• Using the points (0, 125) and (15, 950)

$Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{950-125}{15-0} =55$

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

Find out more on linear equation at: brainly.com/question/14323743