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Colt1911 [192]
3 years ago
9

Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars. Barney was charged $145.00 for 3 days and 200

miles, while Mary was charged $275.50 for 5 days and 430 miles. What does Discount Rental Cars charge per day and per mile?

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

The charge per day is $25 and the charge per mile is $0.35

Step-by-step explanation:

Let

x -----> the charge per day

y ----> the charge per mile

we know that

3x+200y=145 -----> equation A

5x+430y=275.50 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (25,0.35)

see the attached figure

therefore

The charge per day is $25 and the charge per mile is $0.35

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Answer:

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Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

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Then the equation will be

12(3x)+(1/3)x(t-12)=xt

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t=\frac{(32)3}{2}=48

So 48 minutes it took to complete the race.

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