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Zigmanuir [339]
3 years ago
11

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition

al costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

  • y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

  • y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

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Answer: Kara should have written the proportion in step 1 as;

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Step-by-step explanation: The two similar triangles are given with the following dimensions;

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For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures  1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.

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x = 1008/12 (Step 3)

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