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Vilka [71]
3 years ago
7

The function y = 3.75 + 2.50(x - 3) can be used to determine the cost in dollars for a uber ride of x miles. What is the rate of

change of the cost in dollars with respect to the number of miles? PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER.
Multiple choices:
A. $3.75 per mile
B. $6.25 per mile
C. $4.75 per mile
D. $2.50 per mile
Mathematics
1 answer:
dusya [7]3 years ago
8 0
The correct Answer is option D) $2.50

Let me explain how:

Differentiate y with respect to x
dy/dx= d/dx(<span>3.75 + 2.50(x - 3))
</span>
<span /><span /><span>dy/dx= 0+2.5(1) - 0=2.5
</span>
<span /><span /><span>Hence, from the above calculations it is proven that the rate of change of the cost in dollars
</span><span>
</span><span>=dy/dx
</span><span>
</span><span>=2.5</span>
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