Question

basal metabolic rate (bmr) is the number of calories per day a person needs to maintain life. a persons basal metabolic rate b(w) in calories per day can be estimated with the function b(w)=70w^3/4, where w is the persons weight in kilograms. estimate the bmr for a person who weighs 65 kilograms. (note: 65 kilograms is approximately 143 pounds.) b(w)=□ calories (round to the nearest calorie as needed.)

Explanation:

Step1: Substitute the value of \(w\) into the formula

Given \(B(w) = 70w^{\frac{3}{4}}\) and \(w = 65\).
So, \(B(65)=70\times65^{\frac{3}{4}}\).
First, calculate \(65^{\frac{3}{4}}=\sqrt[4]{65^{3}}\).
\(65^{3}=65\times65\times65 = 274625\).
\(\sqrt[4]{274625}\approx23.97\).

Step2: Calculate the value of \(B(65)\)

\(B(65)=70\times23.97 = 1677.9\approx1678\).

Answer:

\(1678\)