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Sladkaya [172]
3 years ago
13

The Questions are in the PDF! please help me

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

I'm sorry it tells me to download the PDF and I can't download PDF so the answer is B

Step-by-step explanation:

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Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add
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Questions (contd)

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

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

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Step-by-step explanation:

Given

Plan 1:

Initial\ Fee = \$57

Additional = \$0.08 per mile

Plan 2:

Initial\ Fee = \$50

Additional = \$0.10 per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

y = 57 + 0.08 * x

Plan 2:

y = 50 + 0.10 * x

To solve (a), we equate both plans together; i.e.

y = y

57 + 0.08x = 50 + 0.10x

Collect Like Terms

0.08x - 0.10x= 50 - 57

-0.02x= -2

Solve for x

x = -2/-0.02

x = 100

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

y = 57 + 0.08 * x

y = 57 + 0.08 * 100

y = 57 + 8

y = 65

<em>Hence, the amount is $65</em>

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Step-by-step explanation:

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