Respuesta :

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
MrRoyal

Kent can drive the car for up to 90 miles

The given parameters are:

[tex]Rental = \$94[/tex]

[tex]Rate = \$0.40[/tex] per mile

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

[tex]y = Rental + Rate \times x[/tex]

So, we have:

[tex]y = 94 + 0.4\times x[/tex]

Multiply 0.4 and x

[tex]y = 94 + 0.4x[/tex]

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

[tex]94 + 0.4x \le 130[/tex]

Subtract 94 from both sides

[tex]0.4x \le 36[/tex]

Divide both sides by 0.4

[tex]x \le 90[/tex]

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

Read more about linear functions at:

https://brainly.com/question/1884491

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