Question

The formula C=kmt is used to find the number of calories a person burns during exercise, where m is the person’s weight in pounds, t is time in minutes, C is calories, and k is a constant for the rate of calories burned during exercise. Find the units for the coefficient k.

Answer 1

Cal/(lb x min)

Explanation:

C=kmt

k is multiplied by mt, so you should undo it my dividing mt on both sides. kmt/mt would cancel out leaving k. The equation should be:

k=C/mt

Put mt into parenthesis, and m is lbs and t is time (min). They are multiplied by each other, so this should be seen inside the parenthesis. The equation should be:

k= Cal/(lb x min)

Answer 2

The unit of C is calories, m is for pounds, t is minutes. We supply these units in the equation.
calories = k (pounds)(minutes)
The unit of k should be equal to calories/(pounds x minutes). That is,
unit of k is cal/lb.min