Answer:
Option D is correct
$2.50 per mile
Step-by-step explanation:
Slope intercept form:
The equation of line is given by:
y = mx+b .....[1]
where,
m is the slope of the line.
b is the y-intercept
As per the statement:
The function y = 3.75 + 2.50(x - 3)
where, y can be used to determine the cost in dollars for a uber ride of x miles.
Using distributive property: [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
we have;
[tex]y = 3.75+2.50x-7.50[/tex]
⇒[tex]y = 2.50x-3.75[/tex]
On comparing with [1];
m = 2.50
⇒rate of change of the cost in dollars with respect to the number of miles = $2.50 per mile
therefore, $2.50 is the rate of change of the cost in dollars with respect to the number of miles
