Try the fastest way to create flashcards
Question

To help move his furniture, a man rents a truck for $41.50 per day plus 35 cents per mile. If he has budgeted$150 for transportation expenses, how many miles will he be able to drive the truck if the move takes 1 day?

Solution

Verified
Step 1
1 of 2

Let x = number of miles41.50+0.35x=150Given equation41.50+0.35x41.50=15041.50Use subtraction property of equality0.35x=108.50Simplify0.35x0.35=108.500.35Use division property of equalityx=310 milesSimplify\begin{align*} & {\text{Let x = number of miles}}\\ \\ & 41.50+0.35x=150 && {\text{Given equation}}\\ \\ & 41.50+0.35x-41.50=150-41.50 && {\text{Use subtraction property of equality}}\\ \\ & 0.35x=108.50 && {\text{Simplify}}\\ \\ & \dfrac{\cancel{0.35}x}{\cancel{0.35}} = \dfrac{108.50}{0.35} && {\text{Use division property of equality}}\\ \\ & {\color{#4257b2}x=310 {\text{ miles}}} && {\text{Simplify}}\\ \end{align*}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

College Algebra and Trigonometry 1st Edition by Donna Gerken, Julie Miller

College Algebra and Trigonometry

1st EditionISBN: 9780078035623Donna Gerken, Julie Miller
9,697 solutions
Intermediate Algebra 5th Edition by Alan S. Tussy, R. David Gustafson

Intermediate Algebra

5th EditionISBN: 9781111567675Alan S. Tussy, R. David Gustafson
8,966 solutions
Algebra and Trigonometry 4th Edition by Lothar Redlin, Stewart, Watson

Algebra and Trigonometry

4th EditionISBN: 9781305071742 (3 more)Lothar Redlin, Stewart, Watson
11,356 solutions
College Algebra and Trigonometry 7th Edition by Richard D. Nation, Richard N. Aufmann, Vernon C. Barker

College Algebra and Trigonometry

7th EditionISBN: 9781439048603Richard D. Nation, Richard N. Aufmann, Vernon C. Barker
7,752 solutions

More related questions

1/4

1/7