Question

1. determine if each pair of values could be the number of grams of protein and fat in the snack. explain your reasoning to your group and show your thinking below.

the equation ( 4 p + 9 f = 60 ) represents the relationship between these quantities has 60 calories from p grams of protein and f grams of fat.
task statement: 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.
directions: find 2 classmates to work with, if possible. collect a calculator.
4.3 calories from protein and fat
lesson 4 - aspire to do
name:
date:
class:
activity worksheet algebra 1 unit 2
a. 5 grams of protein and 2 grams of fat

Explanation:

Step1: Substitute \( p = 5 \) and \( f = 2 \) into the equation.

Substitute \( p = 5 \) and \( f = 2 \) into \( 4p+9f \).

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Step2: Calculate the products.

Calculate \( 4\times5 = 20 \) and \( 9\times2=18 \).

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Step3: Calculate the sum.

Add the two results: \( 20+18 = 38\).
Since \( 38
eq60\), the pair \((p = 5,f = 2)\) does not satisfy the equation \(4p + 9f=60\).

Answer:

The pair \((5,2)\) does not satisfy the equation \(4p + 9f = 60\) because when \(p = 5\) and \(f=2\), \(4p+9f=4\times5 + 9\times2=20 + 18=38
eq60\).