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MAT101: Week 8 Assignment Details

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Week 8 Assignment: Moving Day

Assignment Overview

Professional movers estimate that the average American will move at least nine times during his or

her lifetime. In addition to moving from one residence to another, an individual may purchase a large

item – refrigerator, sofa, etc. that needs moving, and decides to rent a truck.

In this assignment, you will determine which truck rental company is the better choice for different

situations.

Assignment Details

Perform the following tasks:

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Complete the reading assignment and the interactive lesson before attempting this

assignment.

Attend the instructor session to prepare for this assignment.

Review the scenario and respond to the questions that follow.

Use the Microsoft Equation Editor or a similar tool for inserting mathematical equations and

symbols.

Calculations must be free of mathematical errors.

Responses to questions must have correct spelling and grammar.

Submit Week 8 Assignment via Blackboard by clicking on the “Week 8 Assignment” link.

Include the proper file naming convention: MAT101_wk8_assn_jsmith_mmddyyyy.

Moving Scenario

Meagan will be using a moving truck to move her belongings to another location. She is trying to

decide whether to rent Truck A or Truck B:

• Option 1: Truck A offers a flat fee of $35 and $0.45 per mile.

• Option 2: Truck B offers a flat fee of $40 and $0.25 per mile.

Answer the following questions:

Question

Response

1. Suppose Meagan needs to drive the truck 15 miles to her new home.

a. What is the cost of using Truck A?

Show your work.

b. What is the cost of using Truck B?

Show your work.

c. Which company offers the better

deal at this mileage?

2. Suppose Meagan needs to drive the truck 35 miles to her new home.

a. What is the cost of using Truck A?

MAT101: Week 8 Assignment Details

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Show your work.

b. What is the cost of using Truck B?

Show your work.

c. Which company offers the better

deal at this mileage?

3. Suppose x = the number of miles she will drive the truck.

a. Write an algebraic expression

representing the cost of Truck A.

b. Write an algebraic expression

representing the cost of Truck B.

4. Suppose Meagan would like to know when the costs are equal between the two trucks.

a. Write an equation that shows the

costs are equal.

b. Solve the equation to find the

mileage at which both rental

companies charge the same

amount. Show your work.

5. Discuss how Meagan should make her decision based on these results.

[Write your response here.]

Grading:

Grading Criteria

Possible

Points

15-mile Trip

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The cost of using Truck A.

5 points

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The cost of using Truck B.

5 points

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Which company offers the better deal for a 10-mile trip?

5 points

35-mile Trip

•

The cost of using Truck A.

5 points

•

The cost of using Truck B.

5 points

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Which company offers the better deal for a 30-mile trip?

5 points

Driving the truck x number of miles

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Provide correct algebraic expression representing the cost of

5 points

Points

Earned

MAT101: Week 8 Assignment Details

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Truck A.

•

Provide correct algebraic expression representing the cost of

Truck B.

5 points

Determine when costs are equal between the two trucks.

a. Provide correct algebraic equation that shows when the costs

are equal between the two trucks.

5 points

b. Solve the equation to determine the mileage at which both

rental companies charge the same amount.

10 points

Apply Algebraic Concepts

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Provide a well-reasoned response to indicate how Meagan

should make her decision.

10 points

Assignment Detail

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Total

65 points