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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Math 6 Modeling public release module at MSDE. 6th Grade Math
"Math 6 Modeling"

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This is a test question that allows you to enter extended text in your response.

A business owner buys lunch for employees once every month. The owner has bought lunch for 18 employees for the last three months and the total costs are shown.

First month: $147.98

Second month: $152.17

Third month: $165.63

  • Write an equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch for x employees.
  • Use your equation to estimate the total cost of a monthly lunch for 26 employees. Show your work or explain your response.

Enter your answer, your equation, and your work or explanation in the space provided.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

This is a question with 2 parts, including a test question that allows you to enter extended text in your response.

Darren has a fish tank with the dimensions shown. He plans to purchase goldfish for his fish tank.

A fish tank in the shape of a right rectangular prism. The height is labeled 2 feet 4 inches, the width is labeled 1 foot 10 inches, and the length is labeled 2 feet 4 inches.

Part A

  • Determine the dimensions, in inches, of the fish tank.
  • Then find the volume, in cubic inches, of the fish tank.
  • Show your work or explain your answers.
Enter your answers and your work or explanations in the space provided.

Part B

Darren researches information about goldfish. He finds the information shown.

The recommended amount of space needed is 10 gallons for each goldfish. The volume of 1 gallon of water is 231 cubic inches.
  • Determine the number of gallons that the fish tank can hold.
  • Then determine the maximum number of goldfish that Darren can put in the fish tank.
  • Show your work or explain your answers.

Enter your answers and your work or explanations in the space provided.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.