Question

Manny goes bowling.

• He has $25.00 to spend.
• He spends $4.25 to rent shoes.
• He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A 2.5 + 4.25% > 25
B 4.25 +2.52 > 25
C 2.5 +4.25.0 < 25
D 4.25 +2.52 < 25

Answer 1

4.25 + 2.50 equal< 25.00

Explanation:

We are given the details of Manny's expenses when he went bowling.

We have the following;

Shoe rental = 4.25

Charge per game = 2.50

Total amount to spend = 25.00

This shows that Manny can spend the total sum of 25 and nothing more. Therefore all that he can spend at the game is either less than, or equal to 25. Also, he pays to rent bowling shoes at the rate of 4.25. he only needs to pay this once. After that he can pay 2.50 per game. We do not know how many games he can afford from his total amount of 25.00. However, the total number of games is represented by x. This means for every game he plays, the charge is;

2.50x

This means, if he played 2 games, that would be 2.50 times 2, and so on. Take note that he also paid 4.25 for shoes which means for x number of games, Manny would be paying;

4.25 + 2.50x

Therefore, for the total amount of money he has, Manny would be having;

4.25 + 2.50 equal< 25.00

Take note that we do not know how many games this total amount can cover (that is, value of x). However we do know that he cannot spend more than the sum of 25.00. Therefore the inequality that determines the greatest number of games he can bowl is;

4.25 + 2.50 equal< 25.00