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

Answer:

The signup fee is $17

Step-by-step 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