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Fiesta28 [93]
3 years ago
6

the function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars of x miles. What is the rate of change of the co

st in dollars with respect to the number of miles?
Mathematics
1 answer:
LenKa [72]3 years ago
5 0

We are given

y=3.75+1.5(x-1)

where

y is the cost in dollars

x is distance in dollars

now, we can find derivative

y'=\frac{d}{dx}\left(3.75+1.5\left(x-1\right)\right)

=\frac{d}{dx}\left(3.75\right)+\frac{d}{dx}\left(1.5\left(x-1\right)\right)

=0+1.5

so,

y'=0+1.5

So,

the rate of change of the cost in dollars with respect to the number of miles is 1.5.........Answer

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3.5

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