One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat. The equation 4p + 9f = 60 represents the relationship between these quantities.  Determine if each pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning. 5 grams of protein and 2 grams of fat 10.5 grams of protein and 2 grams of fat 8 grams of protein and 4 grams of fat If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning. In this situation, what does a solution to the equation 4p + 9f = 60 tell us? Give an example of a solution. In this situation, what does it mean when we say that x = 12 and y = 1.5 are not solutions to the equation? How did you find out the grams of protein in the snack given that there are 6 grams of fat? Can you find another combination that is a solution? How many possible combinations of grams of protein and fat (or x and y) would add up to 60 calories?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
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One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.

The equation 4p + 9f = 60 represents the relationship between these quantities. 

  1. Determine if each pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning.
    1. 5 grams of protein and 2 grams of fat
    2. 10.5 grams of protein and 2 grams of fat
    3. 8 grams of protein and 4 grams of fat
  2. If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.
  3. In this situation, what does a solution to the equation 4p + 9f = 60 tell us? Give an example of a solution.
  • In this situation, what does it mean when we say that x = 12 and y = 1.5 are not solutions to the equation?
  • How did you find out the grams of protein in the snack given that there are 6 grams of fat?
  • Can you find another combination that is a solution?
  • How many possible combinations of grams of protein and fat (or x and y) would add up to 60 calories?

 

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