Will give ! 1
he cost c, in dollars, of renting a moving truck for a day is given by the function upper c left parenthesis x right parenthesis equals 0.25 x plus 40 comma where x is the number of miles driven.
(a) what is the cost if a person drives x equals 240 miles?
(b) if the cost of renting the moving truck is $180, how many miles did the person drive?
(c) suppose that a person wants the cost to be no more than $150. what is the maximum number of miles the person can drive?

Hey there!

C = 0.25x + 40

(a) For this part we solve for C when x = 240. Substitute 240 in for x.

C = 0.25(240) + 40

Multiply 240 by 0.25.

C = 60 + 40

Add.

C = 100

The cost is $100.

Check

100 = 0.25(240) + 40

100 = 60 + 40

100 = 100

(b) For this part we solve for x when C = 180. Substitute 180 for C.

180 = 0.25x + 40

Subtract 40 from each side.

140 = 0.25x

Divide each side by 0.25.

560 = x

This person drove 560 miles.

Check

180 = 0.25(560) + 40

180 = 140 + 40

180 = 180

(c) For this we must make an inequality with C = 150.

Since they want the cost to be no more than 150, we will use the ≥ symbol.

C ≥ 0.25x + 40

Substitute 150 for C. Solve for x.

150 ≥ 0.25x + 40

Subtract 40 from each side.

110 ≥ 0.25x

Divide each side by 0.25.

440 ≥ x

The max number of miles they can drive is 440.

Check

150 ≥ 0.25(440) + 40

150 ≥ 110 + 40

150 ≥ 150

Hope this helps!

mental cunning

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3 bags of apples and 2 bags of oranges.

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