A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period. Explain how you got it.

The rateofchange in the profit for the five months earned by the given small business is $2750.

How to calculate the rate of change?

The rate of change explains the relationship between two quantities.

Consider two quantities such profit and time in a small business.

Then, the rate of change in the profit is calculated by the ratio of change in the profit for the particular period to the time. I.e.,

rateofchange in the profit = (change in the profit)/time

or

r = (p2 – p1)/(t2 – t1)

Where p1 is the profit gained at time t1 and p2 is the profit gained at time t2.

Calculation:

Given that, a small business earns a profit of $6500 in January (the first month of the year) and $17,500 in May (the fifth month of the year).

So, here p1 = $6500; p2 = $17,500; t1 = 1; and t2 = 5

Then, the rateofchange in the profit for this period is

r = (17,500 – 6500)/(5 – 1)

= 11000/4

= 2750

Therefore, the rateofchange in the profit for the five months is $2750.

Learn more about the rateofchange at the following link:

rateofchangein the profit for the five months earned by the given small business is $2750.## How to calculate the rate of change?

rateofchangein theprofit= (change in the profit)/time## Calculation:

rateofchangein theprofitfor this period israteofchangein theprofitfor the five months is $2750.rateofchangeat the following link: