27. the cost of a field trip is $220 plus $7 per student. if the school can spend at most $500, how many…

27. 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?

27. 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?

Answer

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.