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
Accepted Solution
A:
The cost of each mile is $2.50.
If you simplify the expression given you will get the following. y = 3.75 + 2.50(x - 3) y = 3.75 + 2.50x - 7.50 y = 2.50x - 3.75.
Knowing that x is the number of miles and 2.50 is the number being multiplied by, we know that the cost per mile is 2.50.