text: ### 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 $1.19$.
explanation: The text extract is a math problem from a lesson in a mathematics textbook. It involves Tim, who is buying microwave popcorn and investigating the relationship between the price of the popcorn and the number of unpopped kernels. The problem includes a table of data, instructions to create a scatterplot, and questions related to the scatterplot and the line of best fit.
  
  1. The first part of the problem asks the student to create a scatterplot, draw the line of best fit, and determine the equation of the line. It also asks for the interpretation of the slope and y-intercept.
  2. The second part of the problem asks the student to estimate the number of unpopped kernels for a bag of popcorn that costs $1.19 using the scatterplot and the equation of the line of best fit.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ### 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 $1.19$.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract is a math problem from a lesson in a mathematics textbook. It involves Tim, who is buying microwave popcorn and investigating the relationship between the price of the popcorn and the number of unpopped kernels. The problem includes a table of data, instructions to create a scatterplot, and questions related to the scatterplot and the line of best fit.
  
  1. The first part of the problem asks the student to create a scatterplot, draw the line of best fit, and determine the equation of the line. It also asks for the interpretation of the slope and y-intercept.
  2. The second part of the problem asks the student to estimate the number of unpopped kernels for a bag of popcorn that costs $1.19 using the scatterplot and the equation of the line of best fit.
  
  Label: multiple-question-and-answer