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?

Step 1

Creating Equation for charges of RIDER MOVING truck

Let assume number of miles for two days be represented by variable x

RIDER MOVING fixed charges for 1 day = $50

So RIDER MOVING fixed charges for 2 days =50*2 =$100

RIDER MOVING charges for 1 mile =$0.50

So RIDER MOVING charges for x miles = 0.50*x = 0.50x miles

Let C_{1 }represents total charges when RIDER MOVING truck is driven for x miles in two days

C_{1 }= 100+0.50x …(1)

Step 2

Similarly creating equation for charges of UMove truck

Let assume number of miles for two days be represented by variable x

UMOVE fixed charges for 1 day = $45

So UMOVE fixed charges for 2 days =45*2 =$90

UMOVE charges for 1 mile =$0.75

So RIDER MOVING charges for x miles = 0.50*x = 0.50x miles

Let C_{2 }represents total charges when UMOVE truck is driven for x miles in two days

C_{2 }= 90+0.75x …(2)

Step 3

On graphing equation(1) and equati...

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