Find the Unit rate of 2,500 Calories in 24 hours

Step-by-step explanation:

For this problem, we are asked to find the unit rate. The unit rate is the amount of something when it's a singular substance. Knowing this, we can divide 24 into 2500 to find out how many calories are burned in just one hour.

2500 ÷ 24 = 104.17

So, your unit rate would be...

104.17 calories = 1 hour

a 10 percent increase

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: