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,
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.