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.
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;
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: https://brainly.com/question/11202658
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