Question

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. 1. if she eats 2 servings of granola, how many calories does she eat. 2. if she wants to eat 175 calories of granola how many servings should she eat. 3. write an equation to represent the relationship between the number of calories and the number of servings of granola?

Answer 1

Answer:

If she eat 2 servings of granola she will eat 700 calories.

She needs to eat half of the granola if she wants to eat 175 calories.

The required equation is $y=350x$

Step-by-step explanation:

Consider the provided information.

Elena knows that 5 servings of granola have 1,750 calories.

That can be represents as:

5 servings = 1,750 calories

Divide both the sides by 5.

5/5 servings = 1,750/5 calories

1 servings = 350 calories

1. if she eats 2 servings of granola, how many calories does she eat.

Multiply both the sides by 2.

1×2 servings = 350×2 calories

2 servings = 700 calories

If she eat 2 servings of granola she will eat 700 calories.

2. if she wants to eat 175 calories of granola how many servings should she eat.

5 servings of granola have 1,750 calories.

5 servings = 1,750 calories

Divide both the sides by 10.

1/2 servings = 1,75 calories

Hence, she needs to eat half of the granola if she wants to eat 175 calories.

3. write an equation to represent the relationship between the number of calories and the number of servings of granola.

Let x is the number of calories and y is the number of servings.

So the we can find the relationship by using: 1 servings = 350 calories

$y=350x$

Answer 2

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

1. If she eats 2 servings of granola, how many calories does she eat.

Since;

5 servings of granola = 1,750 calories

2 servings of granola = a

Cross Multiply

5 servings x a = 2 servings x 1750 calories

a = 2 servings x 1750 calories/5 servings

a = 700 calories

Therefore, the number of calories she eats if she eats 2 servings of granola is 700 calories.

2. If she wants to eat 175 calories of granola how many servings should she eat.

Since;

1750 calories = 5 servings

175 calories = c

Cross Multiply

1750 calories x c = 175 calories x 5 servings

c = 175 x 5 servings/1750 calories

c = 0.5 servings

Therefore, the number of servings she should eat if she wants to eat 175 calories of granola is 0.5 servings

3.   5 servings = 1750 calories

1 servings =?

= 1750/5

= 350 calories

Where

s = number of servings and c = number of calories

The equation to represent the relationship between the number of calories and the number of servings of granola is written as

c = 350s

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