Question

1. for the three - part question that follows, provide your answer to each part in the given workspace. identify each part with a coordinating response. be sure to clearly label each part of your response as part a, part b, and part c.

part a: simeon comes home from school every day and eats 2 peanut butter and jelly sandwiches. there are 770 calories in 2 sandwiches. set up the proportion to find how many calories are in 1 peanut butter and jelly sandwich.
part b: use the proportion set up in part a to determine how many calories are in 1 peanut butter and jelly sandwich.
part c: how many calories would be in 3 peanut butter and jelly sandwiches?

Explanation:

Part A Explanation:

Step1: Define variables

Let \( x \) be the calories in 1 sandwich.

Step2: Set up proportion

Since the number of calories is proportional to the number of sandwiches, we have \(\frac{770}{2}=\frac{x}{1}\).

Part A Answer:

\(\boldsymbol{\frac{770}{2}=\frac{x}{1}}\) (where \( x \) is calories in 1 sandwich)

Part B Explanation:

Step1: Solve the proportion

From \(\frac{770}{2}=\frac{x}{1}\), cross - multiply: \( 2x = 770\times1 \).

Step2: Find \( x \)

Divide both sides by 2: \( x=\frac{770}{2}=385 \).

Part B Answer:

\(\boldsymbol{385}\)

Part C Explanation:

Step1: Use the calorie per sandwich

We know 1 sandwich has 385 calories.

Step2: Calculate for 3 sandwiches

For 3 sandwiches, the total calories \( y = 385\times3 \).

Step3: Compute the product

\( 385\times3 = 1155 \).

Part C Answer:

\(\boldsymbol{1155}\)

Answer:

Part A Explanation:

Step1: Define variables

Let \( x \) be the calories in 1 sandwich.

Step2: Set up proportion

Since the number of calories is proportional to the number of sandwiches, we have \(\frac{770}{2}=\frac{x}{1}\).

Part A Answer:

\(\boldsymbol{\frac{770}{2}=\frac{x}{1}}\) (where \( x \) is calories in 1 sandwich)

Part B Explanation:

Step1: Solve the proportion

From \(\frac{770}{2}=\frac{x}{1}\), cross - multiply: \( 2x = 770\times1 \).

Step2: Find \( x \)

Divide both sides by 2: \( x=\frac{770}{2}=385 \).

Part B Answer:

\(\boldsymbol{385}\)

Part C Explanation:

Step1: Use the calorie per sandwich

We know 1 sandwich has 385 calories.

Step2: Calculate for 3 sandwiches

For 3 sandwiches, the total calories \( y = 385\times3 \).

Step3: Compute the product

\( 385\times3 = 1155 \).

Part C Answer:

\(\boldsymbol{1155}\)