Question

1. (inequalities) 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 $2.5 + 4.25x \geq 25$
b $4.25 + 2.5x \geq 25$
c $2.5 + 4.25x \leq 25$
d $4.25 + 2.5x \leq 25$
\bigcirc a
\bigcirc b
\bigcirc c
\bigcirc d

Explanation:

Step1: Analyze total cost components

The total cost Manny incurs is the sum of the shoe rental cost and the cost per game times the number of games. The shoe rental is $4.25, and each game costs $2.50, with \( x \) games. So total cost is \( 4.25 + 2.5x \).

Step2: Relate total cost to budget

Manny has $25 to spend, so the total cost must be less than or equal to $25 (since he can't spend more than he has). Thus, the inequality is \( 4.25 + 2.5x \leq 25 \).

Answer:

D. \( 4.25 + 2.5x \leq 25 \)