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kodGreya [7K]
3 years ago
9

A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

ruck can be driven so that the rental cost is at most $1000? (round to the nearest mile.)
Mathematics
2 answers:
Dafna1 [17]3 years ago
4 0

Answer: 1750 miles

Step-by-step explanation:

Let x represent the number of miles driven over 1000 miles. The cost of the truck rental is C= 750. For the cost to be at most $1200, solve the inequality: 750 + 0.06x≤1200 Subtract 750 from each side: Divide each side by : 0.06. X≤750

Because x represents the miles over 1000 miles, the renter can drive the truck no more than 1000 + 750 = 1750 miles for the rental cost to be less than or equal to $1200.

Katen [24]3 years ago
3 0

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Further explanation:

Given:

A local company rents a moving truck for \$ 750.

Rent per mile is \$ 0.59 if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is \$ 750 if he drove less than 1000 miles.

{\text{Cost}} = \$ 750{\text{   }}x \leqslant 1000

The rental cost of the truck can be expressed as follows,

{\text{Cost}} = 750 + 0.59x{\text{  }}x > 1000

The rental cost is at most \$1000.

750 + 0.59x \leqslant 1000

The maximum number of miles can be obtained as follows,

\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}

The maximum number of miles can be obtained as follows,

\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over  

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