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mr_godi [17]
3 years ago
14

(a.): For what amount of driving do the two plans cost the same?

Mathematics
2 answers:
user100 [1]3 years ago
5 0
Write the expression for each plan, and set them equal to each other.

For part a) solve for m.

For part b) substitute the value of m back into each expression.

Elanso [62]3 years ago
5 0

First plan: 53 + 0.08m

Second plan: 46 + 0.12m

____________________________________________________________

\boxed {a)} Make the two plans equal to each other & solve.

53 + 0.08m = 46 + 0.12m

Subtract 46 from both sides.

7 = 0.04m

Divide both sides by 0.04.

m = 175

Driving 175 miles would make the two plans cost the same.

\boxed {b)} Plug 175 into either one of the plans. We'll plug 175 for m into both just to double check :)

First plan: 53 + 0.08m ⇒ 53 + 0.08(175) = 67

Second plan: 46 + 0.12m ⇒ 46 + 0.12(175) = 67

The cost when the two plans cost the same is $67.

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