Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice costs $0.80 per ounce. He can spend at most $23.52 on all the food items.

How many ounces of juice, x, can he purchase and stay within his budget? Select the inequality that includes the largest amount of ounces of juice he can purchase and still stay under his budget.
A.
x ≤ 24.5
B.
x ≥ 24.5
C.
x ≤ 19.6
D.
x ≥ 19.6

1 answer

Let x be the number of ounces of fruit juice Steve can purchase without exceeding his budget.

The cost of the fruit juice is $0.80 per ounce. Therefore, the total cost of the fruit juice would be 0.80x.

Adding this to the cost of the sandwich, the total amount Steve can spend is $3.92 (sandwich) + 0.80x (fruit juice) ≤ $23.52.

Therefore, the inequality that represents the largest amount of ounces of juice Steve can purchase and still stay under his budget is:

3.92 + 0.80x ≤ 23.52
0.80x ≤ 23.52 - 3.92
0.80x ≤ 19.60
x ≤ 19.60

So the correct answer is C. x ≤ 19.6.