Answer:
a) see attachment
b) Cost f(distance) = 0.25d + 260
c) $0.25
Step-by-step explanation:
b) The linear relationship between two variables is as follows:
C f(d) = m*d + k .... Eq 1
Where, m and k are constants to be evaluated
Find m: we will find slope of the line between two points (480,$380) & (800,$460)
Slope of line (m) = = $0.25 / mile
Find k: consider one of the two points and input in Eq 1 using (480,$380)
k = 380 - 0.25(480) = $260
The equation of line is C f(d) = 0.25*d +260.
We can use this equation for plotting the graph for part a
c) Rate of cost / mile is given by the slope of the graph if scruutinized on the units; hence, $0.25