Elleanna is planning to join a DVD club and is investigating the options for membership. Option 1 is $20 membership fee $1.25 rental change for each DVD rented. Option 2 has no rental fee and changes $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

Mathematics

Johnson

21 February, 08:56

Elleanna is planning to join a DVD club and is investigating the options for membership. Option 1 is $20 membership fee $1.25 rental change for each DVD rented. Option 2 has no rental fee and changes $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?

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Genie · Answer 1

Option 1 : 20 + 1.25d

option 2 : 2.50d

when will they be equal ... so set them equal to each other

20 + 1.25d = 2.50d

20 = 2.50d - 1.25d

20 = 1.25d

20 / 1.25 = d

16 = d ... so they will be equal at 16 dvd rentals