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Leona [35]
4 years ago
10

A car rental agency advertised renting a car for $24.95 per day and $ 0.34 per mile. If Kevin rents this car for 2 ​days, how ma

ny whole miles can he drive on a $200 ​budget?
Mathematics
1 answer:
love history [14]4 years ago
5 0

Answer:

441 miles

Step-by-step explanation:

Write and solve an inquality to answer this question:

($24.95/day)(2 days) + ($0.34/mile)x ≤ $200

The first term becomes $49.30; the second term $0.34x; their sum must be ≤ $200.

More concisely, 49.30 + 0.34x ≤ 200.

Isolate x by subtracting 49.30 from both sides:

0.34x ≤ 150.10.

Divide both sides by 0.34:

x ≤ 150.10/0.34, or 441.47 miles.  You must round this off to the nearest whole mile, which would be 441 miles.

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Answer: 2 solutions.

The given equation breaks down into these two equations

3x+12 = 18 and 3x+12 = -18

Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.

If you want to solve each equation, then

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and

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