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.which inequality could be used to represent the situation when the monthly cost as Store S is less than the monthly cost as Store T.

Answer 1

In store S, the cost per game is $2.50. So if you rent "x" amount of games, you pay:

`2.50x`

just of the games. To that, you need to add 5.00 for the monthly fee. So the total cost for a month in store S is:

`2.50x+5.00`

In store T, the cost per game is $5.00 and you don't pay any fees. So the monthly cost in store T is the cost for "x" amount of games (each at a cost of $5.00):

`5.00x`

To represent that the monthly cost at store S is less than the monthly cost at store T we use the symbol "<" as follows:

`\text{Store S < Store T}`

Using this inequality with the monthly cost that we just found:

`2.50x+5<5.00x`

Answer:

`2.50x+5<5.00x`