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HACTEHA [7]
3 years ago
10

You rent a car for the day and are offered two payment options. With option A you pay $25 flat rate plus $0.15 per mile. With op

tion B you pay a $10 flat rate plus $0.40 per mile. For what amount of miles would the cost of option A be equal to option B
Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

60 miles.

Step-by-step explanation:

Given:

We rent a car for the day and are offered two payment options.

With option A we pay $25 flat rate plus $0.15 per mile.

With option B we pay a $10 flat rate plus $0.40 per mile.

Question asked:

For what amount of miles would the cost of option A be equal to option B ?

Solution:

<u>Let amount of miles for which the cost of option A be equal to option B = </u>x<u />

For option A, we pay = 25+0.15\times x

For option B, we pay = 10+0.40\times x

Now, to find amount of miles for which the cost of option A be equal to option B, we will equalize the equation to find the value of x

25+0.15x=10+0.40x\\

By subtracting both sides by 10

25-10+0.15x=10-10+0.40x\\15+0.15x=0.40x

By subtracting both sides by 0.15x

15+0.15x-0.15x=0.40x-0.15x\\15=0.25x

By dividing both sides by 0.25

x=60\ miles

Therefore, for 60 miles, the cost of option A will be equal to option B.

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