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.
Answer the following questions:
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.
a. 5 grams of protein and 2 grams of fat
b. 10.5 grams of protein and 2 grams of fat
c. 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.