# You need to rent a moving truck for two days. Rider MovingTrucks 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 xaxis 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?

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 C1 represents total charges when RIDER MOVING truck is driven for x miles in two days

C1 = 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 C2 represents total charges when UMOVE truck is driven for x miles in two days

C2 = 90+0.75x …(2)

Step 3

On graphing equation(1) and equati...

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