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The function y = 3.75 +1.5(x - 1) 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?

Respuesta :

Wolfyy

Answer:

$1.50 per mile

Step-by-step explanation:

y = 3.75 + 1.5(x - 1)

~Simplify left side

y = 3.75 + 1.5x - 1.5

~Combine like terms

y = 2.25 + 1.5x

As we can see, this question is written in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept.

1.5x resembles the slope (cost of how many miles you ride in the taxi)

2.25 resembles the y-intercept. We can just assume this is the "fee or tip" amount since the question doesn't state what this actually is.

Since 1.5 is the slope, this is the rate of change.

Best of Luck!

aksnkj

The rate of change of cost with respect to the number of miles is 1.5 dollars per mile.

Given information:

The function [tex]y = 3.75 +1.5(x - 1)[/tex] can be used to determine the cost in dollars for a taxi ride  of x miles.

It is required to calculate the rate of change of cost with respect to the distance traveled.

The rate of change of cost can be measured as,

[tex]y = 3.75 +1.5(x - 1)\\y = 3.75 +1.5x - 1.5\\\dfrac{dy}{dx}=0+1.5-0\\\dfrac{dy}{dx}=1.5[/tex]

Therefore, the rate of change of cost with respect to the number of miles is 1.5 dollars per mile.

For more details, refer to the link:

https://brainly.com/question/8223651

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