Acompany offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service is 264.70.
a. write an equation in point slope form to find the total price y for any number of monthes x.(hint: the point (6,264.70)is a solution to the equation.)
b. write the equation in slope intercept form.
c. what is the setup fee?

Part a) The equation of the line in point slope form is

Part b) The equation in slope intercept form is

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

where

m is the slope

b is the y-coordinate of the y-intercept

we have

Isolate the variable y

Distribute right side

Adds 264.70 both sides

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

The setup fee is $25

what are the statments

step-by-step explanation: