Question

Daisy purchases a gym membership.She pays a signup fee and a monthly fee off 13$.After 4 months, she has paid a total of$69.Use a linear equation in point-slope form to find the signup fee.Solve the problem using an equation in point-slope form.

Answer 1

The signup fee is $17

Explanation:

we know that

The equation in point slope form is equal to

`y-y1=m(x-x1)`

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

`m=\$13\ per\ month`

The ordered pair is

`(x1,y1)=(4,69)`

substitute

`y-69=13(x-4)` ----> equation in point slope form

Convert to slope intercept form

`y-69=13x-52`

`y=13x-52+69`

`y=13x+17` ---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17