you need to rent a moving truck for two days

Question

you need to rent a moving truck for two days. rider moving trucks charges $50 per day and $0.50 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 milage. 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 mile?

Answer 1

Savanna, let's say you drove 2 miles with your UMove truck. Then you paid .75(2) + 45, because you are paying $45 whether you drive it or not.

 

Since x is your miles and y is your tital cost, the first equation is...

 

y = .50x + 50

 

To graph this, start on the y-axis at 50, again because you are paying $50 no matter what. 

 

After 10 miles, you are paying .50(10) + 50 = $55. Put a point at (10, 55) and continue for 20, 30, etc.

 

I know you can figure out the 2nd equation and graph it. Where the two lines cross is where they cost the same!