This page shows questions in the Alg II Modeling public release module at MSDE. Algebra 2
"Alg II Modeling"
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response.
Part A
Three friends go to a store to rent games and movies. Calvin rents 3 movies and 2 games and spends a total of $25. Samantha rents 2 movies and 1 game and spends a total of $14.75.
If the rental fee for each game is the same and the rental fee for each movie is the same, determine how much their friend, Keith, will spend at the rental store to rent 1 movie and 2 games. Explain your answer.
Enter your answer and your explanation in the space provided.
Part B
A fourth friend, Beth, rents her movies and games from a different store. At this store, the rental fee for a movie is the same as the rental fee for a game. The total cost of renting 2 movies and 3 games is the same at both stores.
Determine the rental fee that Beth's store charges for each movie or game. Explain your answer.
Enter your answer and your 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 test question that allows you to enter extended text in your response.
The table contains data about the fuel capacity, in gallons, and the weight, in pounds, for small motorcycles.
| Fuel Capacity (gallons) | Weight (pounds) |
|---|---|
| 0.5 | 84 |
| 1.0 | 131 |
| 1.1 | 139 |
| 1.3 | 145 |
| 1.7 | 176 |
| 2.0 | 212 |
| 2.1 | 227 |
| 2.2 | 219 |
| 2.5 | 253 |
| 2.6 | 263 |
- Give an equation for a linear regression model for these data to predict the weight from the fuel capacity. Identify the variables in your equation.
- Justify how well your linear equation fits the model by discussing a scatter plot of the data and the correlation coefficient in assessing the fit of your linear model.
- Use your model to predict the total weight of a small motorcycle that has a fuel capacity of 6 gallons, and discuss the usefulness of this prediction.
Enter your answer and your 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.