Question

5-5: mathxl for school practice & 5.5.ps-12 a type of fish for your aquarium costs $5 each. you can spend at most $35. how many of these fish can you buy? write an inequality to model the problem. then solve the inequality to find the number of fish. let f be the number of fish you can buy. which inequality models the problem? a. f + 5 ≥ 35 b. 5f ≥ 35 c. 5f ≤ 35 d. f + 5 ≤ 35 how many of these fish can you buy? you can buy fish.

Explanation:

Step1: Analyze the cost model

Each fish costs $5, so for LXI0 fish, the total cost is LXI1. We can spend at most $35, meaning total cost \( \leq 35 \). So the inequality is \( 5f \leq 35 \) (Option C).

Step2: Solve the inequality

To solve \( 5f \leq 35 \), divide both sides by 5: \( f \leq \frac{35}{5} = 7 \). Since \( f \) represents the number of fish, it must be a non - negative integer. So the maximum number of fish is 7.

Answer:

The inequality that models the problem is C. \( 5f\leq35 \). You can buy at most 7 fish.