Answer :
Sure! Let's solve the problem step by step.
We need to determine the minimum and maximum number of tablespoons of lime juice Antoni can use in his guacamole recipe. The recipe calls for a base amount with some variability:
1. Base amount: [tex]\(2 \frac{1}{2}\)[/tex] tablespoons. This can also be expressed as 2.5 tablespoons.
2. Variability: [tex]\(\frac{3}{4}\)[/tex] tablespoon. This can also be expressed as 0.75 tablespoons.
Equation: We represent the amount of lime juice with [tex]\(j\)[/tex].
[tex]\[ j = 2.5 \pm 0.75 \][/tex]
This equation means the amount of lime juice can vary by plus or minus 0.75 tablespoons from the base amount of 2.5 tablespoons.
Calculate the Minimum:
To find the minimum amount of lime juice, subtract the variability from the base amount:
[tex]\[ \text{Minimum} = 2.5 - 0.75 = 1.75 \][/tex]
Calculate the Maximum:
To find the maximum amount of lime juice, add the variability to the base amount:
[tex]\[ \text{Maximum} = 2.5 + 0.75 = 3.25 \][/tex]
So, the minimum amount of lime juice Antoni can use is 1.75 tablespoons, and the maximum amount is 3.25 tablespoons.
Final Answers:
- Equation: [tex]\( j = 2.5 \pm 0.75 \)[/tex]
- Minimum: [tex]\( j = 1.75 \)[/tex] tablespoons of lime juice
- Maximum: [tex]\( j = 3.25 \)[/tex] tablespoons of lime juice
We need to determine the minimum and maximum number of tablespoons of lime juice Antoni can use in his guacamole recipe. The recipe calls for a base amount with some variability:
1. Base amount: [tex]\(2 \frac{1}{2}\)[/tex] tablespoons. This can also be expressed as 2.5 tablespoons.
2. Variability: [tex]\(\frac{3}{4}\)[/tex] tablespoon. This can also be expressed as 0.75 tablespoons.
Equation: We represent the amount of lime juice with [tex]\(j\)[/tex].
[tex]\[ j = 2.5 \pm 0.75 \][/tex]
This equation means the amount of lime juice can vary by plus or minus 0.75 tablespoons from the base amount of 2.5 tablespoons.
Calculate the Minimum:
To find the minimum amount of lime juice, subtract the variability from the base amount:
[tex]\[ \text{Minimum} = 2.5 - 0.75 = 1.75 \][/tex]
Calculate the Maximum:
To find the maximum amount of lime juice, add the variability to the base amount:
[tex]\[ \text{Maximum} = 2.5 + 0.75 = 3.25 \][/tex]
So, the minimum amount of lime juice Antoni can use is 1.75 tablespoons, and the maximum amount is 3.25 tablespoons.
Final Answers:
- Equation: [tex]\( j = 2.5 \pm 0.75 \)[/tex]
- Minimum: [tex]\( j = 1.75 \)[/tex] tablespoons of lime juice
- Maximum: [tex]\( j = 3.25 \)[/tex] tablespoons of lime juice
