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 the rate of calories burned during exercise. Find the units for the coefficient k. A) Cal·lb·min B) Cal·lb/min C) Cal/(lb·min) D) lb·min/Cal

Answer 1

Answer:

k = Cal /(lb . min)

Which is option C

Step-by-step explanation:

The given formula is

C = kmt

The units for the respective quantities are

C = Cal

m = lb

t = min

we have to find the unit of k

For this let us use the given equation

Given is

C = k*m*t

Dividing both sides of the equation by m*t

It becomes

$\frac{C}{mt}=\frac{k*m*t}{m*t}$

It becomes

k=$\frac{C}{mt}$

Putting in the units

k=$\frac{Cal}{lb * min}$

OR

k = Cal /(lb . min)

Which is option C