Question

The graph represents the cost of renting a truck from a truck rental company.




Question 2
Which linear function relates the total cost of renting a truck in dollars, C, to the number of miles driven, m?
Responses
A C = 0.50m + 150C = 0.50m + 150
B C = 0.875m + 150C = 0.875m + 150
C C = 0.50m + 200C = 0.50m + 200
D C = 0.875m + 200C = 0.875m + 200

Answer 1

I can’t see the graph you mention. Could you either upload the image or tell me two points shown on the graph (for example the cost at 0 miles and the cost at one other mile value)?

How to decide from the graph:
- The y-intercept (cost at m = 0) gives the constant term (150 or 200).
- The slope = rise/run = (change in cost)/(change in miles) gives the per-mile charge (0.50 or 0.875).
- Then plug those into C = (slope)·m + (intercept) and match to A–D.

Quick examples:
- If the graph shows C = $150 at m = 0 and C = $200 at m = 100, slope = (200−150)/100 = 0.50 → answer A.
- If it shows C = $200 at m = 0 and C = $287.50 at m = 100, slope = (287.5−200)/100 = 0.875 → answer D.

Send the graph or two points and I’ll pick the correct option for you.