Chapter 11.7, Problem 24PPE

a.

To determine

Write and graph an equation that gives the cost c of hiring one paid musician as a function of the number of musician’s m who plays the benefit.

Answer to Problem 24PPE

  $c=\frac{1200}{x-2}$

The graph of given function is

Explanation of Solution

Given:

Event Planning: You have a budget of $\$1200$ to pay the musicians who will play a charity benefit. Two musicians have agreed to perform without charge.

Calculation:

Total budget $=\$1200$

Two musicians have agreed to perform without charge.

Let total no. of musicians $=x$

Cost of 1 musician = c

Equation becomes

  $c=\frac{1200}{x-2}$

b.

To determine

Suppose you use your entire budget and get 18 musicians to play the benefit. What is the cost of hiring each paid musician?

Answer to Problem 24PPE

  $75\$$

Explanation of Solution

Given:

Event Planning You have a budget of $\$1200$ to pay the musicians who will play a charity benefit. Two musicians have agreed to perform without charge.

Calculation:

Total budget $=\$1200$

18 musicians will perform.

Two musicians have agreed to perform without charge.

So total paid musicians $=18-2=16$

Cost of hiring each paid musician $=\frac{1200}{16}$

  $75\$$

75$ will be paid to each paid musician.