Question

The number of calories C varies directly as the number of ounces N of avocado that is consumed by the body and C is 380 calories N is 20 ounces. Find C when N is 36 ounces.

Answer 1

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

What is Proportional relationships?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Direct variation equation is a linear equation in two variables.

It is expressed as;

a ∝ b then a = kb

Where k is the proportionality constant.

Given the data in the question;

• Calories C = 380 calories

• Number of ounces N = 20 ounces

Since Calories C and Number of ounces N varies directly, we find their proportionality constant.

a ∝ b then a = kb

C = kN

380 calories = k × 20 ounces

k = 380 calories / 20 ounces

k = 19 calories/ounces

Now,we find C when N is 36 ounces.

C = kN

C = 19 calories/ounces × 36 ounces

C = 684 calories

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

Learn more about proportionality here: brainly.com/question/11202658

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