Question

An internet service provider charges 18$ per month plus an initial set up fee. One customer paid a total of $81 After 2 months of service. A. Write an equation modeling this situation

Answer 1

`y=18x+45`

Explanation:

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

x -----> the number of months

y ----> total charges in dollars

In this problem

The slope or unit rate is equal to

`m=\$18\ per\ month`

we have the ordered pair (2,81)

substitute in the equation

`81=(18)(2)+b`

solve for b

`81=36+b`

subtract 36 both sides

`b=81-36=\$45` -----> initial set up fee

therefore

The equation is

`y=18x+45`