Question

The number of calories k needed each day by a moderately active woman who weighs w​ pounds, is h inches​ tall, and is a years old can be estimated by the formula given below. upper k equals 917 plus 6 left parenthesis w plus h minus a right parenthesisk=917+6(w+h−a) julie is moderately​ active, weighs 119119 ​lb, and is 2121 years old. if julie needs 19371937 calories per day to maintain her​ weight, how tall is​ she?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer: 72 inches

Step-by-step explanation:

Given : The number of calories k needed each day by a moderately active woman who weighs w​ pounds, is h inches​ tall, and is a years old can be estimated by the formula given below.

$k=917+6(w+h−a)$

When w= 119 lb , a = 21 years ,  and k = 1937 calories, then we substitute all these values in the above function , we get:-

$1937=917+6(119+h−21)\\\\\Rightarrow\ 1937=917+6(98+h)\\\\\Rightarrow\ 6\times98+6\times h=1937-917\\\\\Rightarrow\ 588+6h=1020\\\\\Rightarrow\ 6h=1020-588\\\\\Rightarrow\ 6h=432\\\\\Rightarrow\ h=\dfrac{432}{6}=72$

Hence, he is 72 inches tall.