Chapter 1.7, Problem 56P

The tax a plumber must charge for a service call is given by the expression $0.06(35+25h)$

where $h$ is the number of hours the job takes. Rewrite this expression using the Distributive Property. What is the tax for a 5 hour job and a 20 hour job? Use mental math.

To determine

To find:The tax for a 5 hour job and a 20 hour job.

Answer to Problem 56P

The tax for a 5 hour job is 9.6 and for a 20 hour job is 32.1

Explanation of Solution

Given information:The tax a plumber must charge for a service call is given by the expression $0.06(35+25h)$ where h is the number of hours the job takes.

Calculation:

  $\begin{array}{l}0.06(35+25h)\\ =0.06\times 35+0.06\times 25h[\because a(b+c)=ab+ac]\\ =2.1+1.5h\end{array}$

Thus, $0.06(35+25h)$ can be written as $2.1+1.5h$

The tax for a 5 hour job

  $\begin{array}{l}2.1+1.5h\\ =2.1+1.5\times 5\\ =2.1+7.5\\ =9.6\end{array}$

The tax for a 20 hour job

  $\begin{array}{l}2.1+1.5h\\ =2.1+1.5\times 20\\ =2.1+30\\ =32.1\end{array}$

Thus, the tax for a 5 hour job is 9.6 and for a 20 hour job is 32.1