Ken wants to rent a car for a week and to pay no more than $130. How far can he drive if the car rental costs $94 a week plus $0.40 a mile?

x=number of miles.
We have the following inequation:
0.4x+94≤130
We solve the inequality:
0.4x≤130-94
0.4x≤36
x≤36/0.4
x≤90

Answer: the maximum distance will be 90 miles

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MrRoyal MrRoyal · Answer 2 · 2021-12-23T05:14:09-05:00

Kent can drive the car for up to 90 miles

The given parameters are:

$Rental = \$94$

$Rate = \$0.40$ per mile

So, the linear equation that represents the charge (y) for x miles is:

$y = Rental + Rate \times x$

So, we have:

$y = 94 + 0.4\times x$

Multiply 0.4 and x

$y = 94 + 0.4x$

He wants to pay no more than $130, so the linear equation becomes the following linear inequality

$94 + 0.4x \le 130$

Subtract 94 from both sides

$0.4x \le 36$

Divide both sides by 0.4

$x \le 90$

Hence, Kent can drive the car for up to 90 miles

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