Answer:
rate of change of the cost in dollars with respect to the number of miles= 1.5
Step-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-1.5
y = 1.5x+2.25
On comparing this equation withe the slope intercept form y = mx + b, we get
m = 1.5
b = 2.25
here 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