Question

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

A. 2.5v + 5 < 5v
B. 2.5v + 5 > 5v
C. 7.5v < 5v
D. 7.5v > 5v

Answer 1

Answer: A. 2.5v+5v < 5v

Explanation:

represents the piece of information which states that renting videos is $2.50 per game and the 2.5 is multiplied by the number of games v. Five is added as a monthly fee therefore the left side of the equation should be 2.5v+5.

For store T:

There is no monthly fee and so the renting fee of $5 per game is represented as 5v.

In conclusion, if the inequality sign in the middle is less than (<) then the left hand side of the inequality sign should represent store S and the right hand side should represent store T in order to answer the question. This makes option A the only correct option.