Question

1. the cost of a field trip is $220 plus $7 per student. if the school can spend at most $500, how many students can go on the field trip?

Explanation:

Step1: Define the variable

Let \( x \) be the number of students. The total cost \( C \) of the field trip is given by the equation \( C = 220 + 7x \).

Step2: Set up the inequality

The school can spend at most \$500, so we have the inequality \( 220 + 7x \leq 500 \).

Step3: Solve for \( x \)

Subtract 220 from both sides: \( 7x \leq 500 - 220 \), which simplifies to \( 7x \leq 280 \). Then divide both sides by 7: \( x \leq \frac{280}{7} \), so \( x \leq 40 \).

Answer:

At most 40 students can go on the field trip.