High School

The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?

A. 105 pounds
B. 137 pounds
C. 10 pounds
D. 320 pounds

Answer :

Final answer:

The weight of an individual who consumes 1.370 calories per day is 137 pounds.

Explanation:

To solve this problem, we can use the concept of direct variation. The number of calories needed in a daily diet varies directly as the weight of an individual. This means that if the weight doubles, the number of calories needed will also double, and if the weight triples, the number of calories needed will also triple.

We can set up a proportion to solve for the weight of an individual who consumes 1.370 calories per day:

105 pounds / 1.050 calories = x pounds / 1.370 calories

Cross multiplying and solving for x, we get:

1.050x = 1.370 * 105

x = (1.370 * 105) / 1.050

x = 137 pounds

Learn more about direct variation here:

https://brainly.com/question/9775007

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