### Home > CC4 > Chapter 2 > Lesson 2.3.2 > Problem2-105

2-105.

Tim is buying snacks for the Mathletes, who love microwave popcorn. When Tim looks at the popcorn selection he notices many brands and different prices. He wonders if the cost is related to the quality of the popcorn. To answer his question, he purchases a random sample of popcorn bags and records their price. When it is time for the Mathletes meeting he pops each bag in the same microwave, opens each bag, and counts the number of unpopped kernels. 2-105 HW eTool (Desmos) Homework Help ✎

 Price (\$) $2.30$ $0.60$ $1.30$ $1.50$ $1.70$ $1.00$ # Unpopped $4$ $30$ $17$ $21$ $15$ $20$
1. Make a scatterplot on graph paper and draw the line of best fit. Choose two points on your drawn line and use them to determine the equation of the line of best fit. What do the slope and the y-intercept represent in your equation?

$u = 37 - 13.7p$
2. Estimate the number of unpopped kernels (after cooking) in a bag that costs $1.19$.
• Use the scatterplot that you created in part (a) to estimate how many unpopped kernels a bag of popcorn will have with the price of $1.19$.
The text passage describes a scenario where Tim is investigating the relationship between the price of microwave popcorn and the number of unpopped kernels. It includes a table of data and two questions related to creating a scatterplot and estimating the number of unpopped kernels based on the price.
multiple_questions_with_answers

1. the first question asks the reader to create a scatterplot, draw the line of best fit, and determine the equation of the line. the answer is provided: \( u = 37 - 13.7p \), where \( u \) is the number of unpopped kernels and \( p \) is the price.
2. the second question asks the reader to estimate the number of unpopped kernels for a bag that costs $1.19. the answer is not explicitly provided, but the reader is instructed to use the scatterplot and the equation from the first part to make the estimate.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
### Home > CC4 > Chapter 2 > Lesson 2.3.2 > Problem2-105

2-105.

Tim is buying snacks for the Mathletes, who love microwave popcorn. When Tim looks at the popcorn selection he notices many brands and different prices. He wonders if the cost is related to the quality of the popcorn. To answer his question, he purchases a random sample of popcorn bags and records their price. When it is time for the Mathletes meeting he pops each bag in the same microwave, opens each bag, and counts the number of unpopped kernels. 2-105 HW eTool (Desmos) Homework Help ✎

 Price (\$) $2.30$ $0.60$ $1.30$ $1.50$ $1.70$ $1.00$ # Unpopped $4$ $30$ $17$ $21$ $15$ $20$
1. Make a scatterplot on graph paper and draw the line of best fit. Choose two points on your drawn line and use them to determine the equation of the line of best fit. What do the slope and the y-intercept represent in your equation?

$u = 37 - 13.7p$
2. Estimate the number of unpopped kernels (after cooking) in a bag that costs $1.19$.
• Use the scatterplot that you created in part (a) to estimate how many unpopped kernels a bag of popcorn will have with the price of $1.19$.
user
The text passage describes a scenario where Tim is investigating the relationship between the price of microwave popcorn and the number of unpopped kernels. It includes a table of data and two questions related to creating a scatterplot and estimating the number of unpopped kernels based on the price.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS

1. The first question asks the reader to create a scatterplot, draw the line of best fit, and determine the equation of the line. The answer is provided: \( u = 37 - 13.7p \), where \( u \) is the number of unpopped kernels and \( p \) is the price.
2. The second question asks the reader to estimate the number of unpopped kernels for a bag that costs $1.19. The answer is not explicitly provided, but the reader is instructed to use the scatterplot and the equation from the first part to make the estimate.