Question

An interior designer charges customers an inital 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.
A. Find the rate of chang.
B. What does the rate of change represent in the context of the situation.

I would do this myself but I have no time so I would really appreciate some help :)​

Answer 1

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

Linear equation

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 initial value of y.

Let y represent the total cost of hiring the designer after x hours.

From the table, using the point (0, 125) and (15, 950):

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

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

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