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Ace Car Rental Company rents a car for \$50 per day and \$0.25 per mile driven. Laura is a customer who wants to keep her car rental bill at \$100 or less. At most how many miles can she drive in one day?
Show work. Let x = number of miles driven. Write an appropriate inequality involving x and solve it algebraically

### 2 Answers by Expert Tutors

Gary W. | Experienced Tutor--Taught K up to College level classesExperienced Tutor--Taught K up to Colleg...
4.9 4.9 (225 lesson ratings) (225)
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\$50+.25x=\$100
\$50-\$50+.25x=\$100-\$50
.25x=\$50
(.25x)/.25=\$50/.25
x=200 miles
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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C = 50d + 0.25X

50 d + 0.25 X ≤100

Graph :

50 d + 0.25 X = 100   / d = days on vertical axis , X on horizontal axis

( 0 , 2 )      ( 400, 0) are the intercept points

Test ( 0, 0)

50 ( 0 ) + 0.25( 0 ) ≤0

So left on the line from the intercept points should be marked as the solution.