Sure! Let’s solve Nadia's problem step by step.
### 1. Writing the Equation
Nadia's recipe calls for 2 cups of chocolate chips, with a permissible variation of [tex]\(\frac{1}{4}\)[/tex] cup. This means we can add or subtract [tex]\(\frac{1}{4}\)[/tex] cup from 2 cups.
We express this as an equation:
[tex]\[ C = 2 \pm \frac{1}{4} \][/tex]
This represents the possible range of chocolate chips that can be used.
### 2. Minimum Number of Cups
To find the minimum amount of chocolate chips, subtract [tex]\(\frac{1}{4}\)[/tex] cup from 2 cups:
[tex]\[ 2 - \frac{1}{4} = 1.75 \][/tex]
So, the minimum number of cups of chocolate chips is:
[tex]\[ C = 1.75 \, \text{cups of chocolate chips} \][/tex]
### 3. Maximum Number of Cups
To find the maximum amount of chocolate chips, add [tex]\(\frac{1}{4}\)[/tex] cup to 2 cups:
[tex]\[ 2 + \frac{1}{4} = 2.25 \][/tex]
So, the maximum number of cups of chocolate chips is:
[tex]\[ C = 2.25 \, \text{cups of chocolate chips} \][/tex]
### Summary
- Equation: [tex]\[ C = 2 \pm \frac{1}{4} \][/tex]
- Minimum: [tex]\[ C = 1.75 \, \text{cups of chocolate chips} \][/tex]
- Maximum: [tex]\[ C = 2.25 \, \text{cups of chocolate chips} \][/tex]
Thus, Nadia can use anywhere from 1.75 to 2.25 cups of chocolate chips in her cookie recipe.
