moving truck company comparison

Question

You need to rent a moving truck for two days. Rider Moving
Trucks charges $50 per day and $.50 per mile. UMove Trucks charges $45 per day
and $0.75 per mile. Write an equation describing each situation. Graph them on
the same xy axis. You only need Quadrant I because all values are positive. The x
axis represents mileage. Use a scale of 0 to 100 counting by 10’s. The y axis is
cost and goes from $0 to $160, counting by 20’s.
a. From your graph, after how many miles would the trucks cost the same?
b. Which company will give you a better deal if you drive less than 30 miles?
c. Which company will give you a better deal if you drive more than 60 miles

Answer 1

50 +.5M = 45 + .75M = C

.25M = 5

M =20 miles per day would make each equal in cost

M>20 makes the 1st less expensive

M<20 means the 2nd is less expensive

M<30 the 2nd is less expensive

M>60 the 1st is less expensive