Question

Carson has $35 to spend at the water park. The admission price is $25, and each soda is $2.50. Which inequality could be used to show how many sodas Carson can buy?

a) 2.50x+25≤35
b) 2.50x≥35
c) 25x+2.50≤35
d) 2.50x≤35−25

Answer 1

The inequality that could be used to show how many sodas Carson can buy is a) 2.50x+25≤35. Carson can buy up to 4 sodas with his remaining money.

Step-by-step explanation:

The inequality that could be used to show how many sodas Carson can buy is a) 2.50x+25≤35.

To solve this inequality, we subtract 25 from both sides to isolate x. This gives us 2.50x ≤ 10. Then, we divide both sides by 2.50 to find the value of x. So, x is less than or equal to 4.

This means that Carson can buy up to 4 sodas with his remaining money.