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GenaCL600 [577]
3 years ago
10

The cost, in dollars, of a one-day car rental, is given by C (x) = 31 + 0.18x, where x is the number of miles driven. In this fu

nction.
A) $ 0.18 is the cost per day to rent the car and $31 is the cost per mile.
B) $31 is the cost per day to rent the car and $0.18 is the cost per mile.
C) $18 is the cost per day to rent the car and $0.31 is the cost per mile.
D) $31 is the cost per day to rent the car and $18 is the extra cost for unlimited miles.
Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

hi

Step-by-step explanation:

the function is c(x) = 31 + 0.18*x

where $31 is a fixed cost, and $0.18 is the cost per mile drive (where the number of miles driven)

So the fixed cost, $31, is the cost per day of rent (this price does not depend on the number x), and the linear cost, $0.18, is the cost per mile driven (because this number is multiplied by x in the function), then the right answer is B: "$31 is the cost per day to rent the car and $0.18 is the cost per mile."

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Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

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On comparing y=-21x+9 with the slope intercept form, we get

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On comparing y=24x+8 with the slope intercept form, we get

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Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

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3 years ago
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