Mia wants to rent a car. Plan A cost $50 a day plus $3.50 per mile, and Plan B cost $75 a day plus $3.25 per mile. Mia is going to take a round trip that is 300 miles. When will the two plans cost the same?

Question

14-02-2020
Mathematics

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Mia wants to rent a car. Plan A cost $50 a day plus $3.50 per mile, and Plan B cost $75 a day plus $3.25 per mile. Mia is going to take a round trip that is 300 miles. When will the two plans cost the same?

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danace231 danace231 · Answer 1 · 2020-02-15T12:42:09+01:00

Answer:

The two plans will cost the same at 100 miles

Step-by-step explanation:

The total cost in dollars for subscribing to the first plan is 50+ 3.5×(miles covered)

While the total cost on dollars for subscribing to the second plan is 75+3.25×(miles covered)

The cost of both plans will be the same when they are equal to each other. To obtain the mile covered at the point, we need to graduate the two plan prices.

i.e 50+3.5m= 75+3.25m

Solving this equation

3.5m-3.25m= 75-50

0.25m=25

m=100

Therefore, at 100 miles, the prices will be the same