Question

A tennis club offers two payment options. Members can pay a monthly fee of $25 plus $7 per hour for court rental time. The second option has no monthly fee, but court time costs $9.50 per hour. Write a linear function the models the total monthly costs for each option for x hours of court rental time.

Answer 1

Let

y ----> the total monthly costs

x ----> hours of court rental time

Remember that

The linear equation in slope-intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem

we have

First payment option

m=$7 per hour

b=$25

so

y=7x+25

Second payment option

m=$9.50 per hour

b=0

so

y=9.50x

Part 2

To graph the linear equations, we need two points

so

Find out the intercepts

First payment option

y=7x+25

For x=0, y=25 --------> ordered pair (0,25)

For y=0, the value of x is not a whole number

so

For x=-2, y=7(-2)+25=11 -----> ordered pair (-2,11)

Plot the points, and join them to graph the line

see the attached figure below to better understand the problem