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The function y = 10 + 2.25(x - 4) can be used to determine the cost in dollars for a taxi ride of
x miles. What is the rate of change of the cost in dollars with respect to the number of miles?
F $4 per mile
G $12.25 per mile
H $10 per mile
J $2.25 per mile


Sagot :

The correct answer is J. $2.25 per mile.

If you actually work out the given equation a little more by distributing 2.25 into the parenthesis and adding like terms , you’ll get:

y = 10 + 2.25x - 9
y = 2.25x + 1 (this is the actual linear equation where the y represents the total cost of a taxi ride, the slope is 2.25, c represents the number of miles driven, and the y-intercept is 1).

The rate of change is $2.25 for every x miles driven. Therefore, the correct answer is:
J. $2.25 per mile

Please mark my answers as the Brainliest if my explanations were helpful :)