Question

Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.

Answer 1

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n