MATH SOLVE

6 months ago

Q:
# 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?

Accepted Solution

A:

Answer: rate of change of the cost in dollars with respect to the number of miles= 1.5Step-by-step explanation:We have been given the function y = 3.75 + 1.5(x-1)Let us simplify this equation y = 3.75 + 1.5(x-1)y= 3.75+1.5x-1.5y = 1.5x+2.25On comparing this equation withe the slope intercept form y = mx + b, we getm = 1.5 b = 2.25here x represents distance in miles and y represents the cost in dollars. So, the rate of change of the cost in dollars with respect to the number of miles would be equal to the slope of the line.Thus, we have rate of change of the cost in dollars with respect to the number of miles = slope = 1.5