Elleana is planning to join a DVD club and is investigating the options for membership. Option 1 is a $20 membership fee and $1.25 rental charge for each DVD rented. Option 2 has no rental fee and charges $2.50 for each DVD rented. How many DVDs would Elleanna have to rent in order for the total cost of Option 1 to be equal to Option 2?

Question
Linear equations and graphs
asked 2021-01-17
Elleana is planning to join a DVD club and is investigating the options for membership. Option 1 is a $20 membership fee and $1.25 rental charge for each DVD rented. Option 2 has no rental fee and charges $2.50 for each DVD rented. How many DVDs would Elleanna have to rent in order for the total cost of Option 1 to be equal to Option 2?

Answers (1)

2021-01-18
Let y be the total cost and x be the DVD's rented. Option 1 has a total cost of:
y=20+1.25x
Option 2 has a total cost of:
y=2.50x
Equate the two costs and solve for x:
2.50x=20+1.25x
1.25x=20
x=16
So, Elleana has to rent 16 DVD's in order for the total cost of Option 1 to be equal to Option 2.
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