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Antoni's guacamole recipe includes [tex]2 \frac{1}{2}[/tex] tablespoons of lime juice, give or take [tex]\frac{3}{4}[/tex] tablespoon. Write and solve an equation, using [tex]\dot{J}[/tex] to represent the amount of lime juice in tablespoons, to determine the minimum and maximum number of tablespoons for the recipe.

Equation: [tex]\dot{J} = 2 \frac{1}{2} \pm \frac{3}{4}[/tex]

Minimum: [tex]\dot{J} = 1 \frac{3}{4}[/tex] tablespoons of lime juice

Maximum: [tex]\dot{J} = 3 \frac{1}{4}[/tex] tablespoons of lime juice

Answer :

Sure! Let's go through the solution step by step:

### Goal:
We want to determine the range of lime juice (in tablespoons) that can be used in Antoni's guacamole recipe. We need to find the minimum and maximum amounts based on the recipe's requirements.

### Given:
1. The average amount of lime juice used is [tex]\(2 \frac{1}{2}\)[/tex] tablespoons. This is equivalent to 2.5 tablespoons.
2. There is a permissible variation of [tex]\(\frac{3}{4}\)[/tex] tablespoon in the amount of lime juice.

### Equation:
To represent this, we can write an equation for [tex]\( \dot{J} \)[/tex], which is the amount of lime juice:

[tex]\[
\dot{J} = 2.5 \pm 0.75
\][/tex]

This equation means the lime juice can vary by 0.75 tablespoons from the average of 2.5 tablespoons.

### Solving for Minimum and Maximum:

1. Calculate the Minimum Amount:

The minimum amount is when we subtract the variation from the average:

[tex]\[
\text{Minimum} = 2.5 - 0.75 = 1.75
\][/tex]

So, the minimum amount of lime juice is [tex]\(1.75\)[/tex] tablespoons.

2. Calculate the Maximum Amount:

The maximum amount is when we add the variation to the average:

[tex]\[
\text{Maximum} = 2.5 + 0.75 = 3.25
\][/tex]

So, the maximum amount of lime juice is [tex]\(3.25\)[/tex] tablespoons.

### Summary:
- Equation: [tex]\(\dot{J} = 2.5 \pm 0.75\)[/tex]
- Minimum: [tex]\(\dot{J} = 1.75\)[/tex] tablespoons of lime juice
- Maximum: [tex]\(\dot{J} = 3.25\)[/tex] tablespoons of lime juice

These calculations tell you the range within which the amount of lime juice can vary for Antoni's guacamole recipe.

Thanks for taking the time to read Antoni s guacamole recipe includes tex 2 frac 1 2 tex tablespoons of lime juice give or take tex frac 3 4 tex tablespoon Write. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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