Chapter 11.2, Problem 37PPS

(a)

To determine

To Write: The verbal description for the cost per person.

Answer to Problem 37PPS

  $\text{cost per person=cost of adm}\text{.+}\frac{\text{cost of naming star}}{\text{number of people}}$

Explanation of Solution

Given:

The freshmen class is going to the science museum. As a part of trip each person in the class contributing an equal amount of money to name a star.

  

Using the figure given

Cost per person is the sum of cost of admission and the ratio of cost of naming star to the number of people going.

i.e.

  $\text{cost per person=cost of adm}\text{.+}\frac{\text{cost of naming star}}{\text{number of people}}$

(b)

To determine

To Find: The equation that represent the total cost $y$ per person if $p$ people goes to the museum.

Answer to Problem 37PPS

  $y=8.5+\frac{95}{p}$

Explanation of Solution

Given:

The freshmen class is going to the science museum. As a part of trip each person in the class contributing an equal amount of money to name a star.

  

Cost of naming a star is $\$95$

Cost of admission is $\$8.5$

Then

  $\begin{array}{l}\text{cost per person=cost of adm}\text{.+}\frac{\text{cost of naming star}}{\text{number of people}}\\ y=8.5+\frac{95}{p}\end{array}$

Hence, the function is $y=8.5+\frac{95}{p}$

(c)

To determine

To Graph: The function.

Answer to Problem 37PPS

  

Explanation of Solution

Given:

The freshmen class is going to the science museum. As a part of trip each person in the class contributing an equal amount of money to name a star.

  

The function is $y=8.5+\frac{95}{p}$

Graph of the function

  

(d)

To determine

To Estimate: The number of people needed for the total cost of trip to be about $\$15$

Answer to Problem 37PPS

  $p=15$

Explanation of Solution

Given:

The freshmen class is going to the science museum. As a part of trip each person in the class contributing an equal amount of money to name a star.

  

Using the graph of the function

  

It is concluded that

The number of people needed for the total cost of trip to be about $\$15$ is $15$