Question

To increase her number of students, the instructor put a coupon in the local paper offering to waive the one-time fee for new

students. What is the value of the coupon?
$14
$20
$30
$50​

Answer 1

Answer:$20

Explanation:

Answer 2

$20

Explanation:

Let

x ----> the number of lessons

y ----> the total cost

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

take two points from the graph

(1,50) and (2,80)

substitute

`m=(80-50)/(2-1)`

`m=\$30\ per\ lesson`

Find the equation of the line in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept or initial value

we have

`m=30`

`point\ (1,50)`

substitute

`50=30(1)+b\\b=20`

the linear equation is

`y=30x+20`

The term
`b=\$20`

represent the y-intercept or one-time fee for new students

therefore

The value of the coupon is $20