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.

A) Cal·lb·min
B) Cal·lb/min
Eliminate
C) Cal/(lb·min)
D) lb·min/Cal

Answer 1

Cal/(lb·min)

Explanation

C=kmt → k=C/mt → k=Cal/lb·min

Answer 2

The units of measurement for weight are pounds.
The units for measurement for time are minutes.
The units for measurement for energy are calories.
The number of calories a person burns during exercise is:
C=kmt
k is a constant for the rate of calories burned . This constant can be expressed as:
k=C/mt
To find the unit: calories/(lb*min)