Chapter SH, Problem 8.11EP

a.

To determine

To write an equation to represent the cost to each student as function of how many students go on the field trip.

Answer to Problem 8.11EP

  $C=\frac{300}{n}+12$

Explanation of Solution

Given:

A field trip to Washington costs $\$300$ to rent the bus and each ticket to the museum costs $\$12$ .

Calculation:

Let C denotes the cost for each student and n denotes the number of students. As the rent of bus $\$300$ will be divided equally among n students. The rent of bus per student will be $\frac{300}{n}$ . So, the total cost to each student will be the sum of rent of the bus per student and cost of each ticket to the museum. That is,

  $C=\frac{300}{n}+12$

Hence, the equation that represents the cost to each student will be $C=\frac{300}{n}+12$ .

b.

To determine

To find the limitations to range or domain in the given situation.

Answer to Problem 8.11EP

Yes.

Explanation of Solution

Given:

A field trip to Washington costs $\$300$ to rent the bus and each ticket to the museum costs $\$12$ .

Calculation:

In the given situation, the domain is limited to all integers greater than 0 as the number of students cannot be negative. The range of the function is limited to all real numbers greater than $12$ as the value of C will always be greater than $12$ for all values of n.