Answer:
Step-by-step explanation:
Let x represent the number of video games that Kevin rents.
Let y represent the total amount that he paid for x video games rental.
The slope intercept form of an equation is expressed as
y = mx + c
Where
m = slope
c = intercept
When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,
Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5
To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes
30 = 2.5 × 4 + c
30 = 10 + c
c = 30 - 10 = 20
The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes
y = 2.5x + 20
The cost per video game rental is $2.5
The membership fee is $20
