Question

A football team has a budget of $2500 for supplies. The team purchased new helmets for $975. Each new football costs $34. The inequality 975 + 34f ≤ 2500 can be used to describe the number of footballs (f) the team can purchase. Which statement about the number of footballs they can purchase is true?
a) The team can purchase 45 footballs.

b) The minimum number of footballs the team can purchase is 44.

c) The team can purchase 49 footballs.

d) The maximum number of footballs the team can purchase is 44.

Answer 1

The correct answer is d) The maximum number of footballs the team can purchase is 44.

this is true because if we plug 44 into the equation it is the only value that is can fit into the equation without it becoming false.

975 + 34(44) ≤ 2500

2471 ≤ 2500

Answer 2

Answer:

d) The maximum number of footballs the team can purchase is 44.

Step-by-step explanation:

975+34f≤ 2500

Subtract 975 from both sides: 975-975+34f≤ 2500-975

34f≤ 1525

Divide both sides by 34: 34f/34≤ 1525/34

f≤ 44.853

You can't purchase 0.853 of a helmet so the maximum you can buy is 44