Question

The initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week.
What is the number of views expected to be four weeks from now?

Round to the nearest whole number.

Answer 1

Hello there! For this type of question, this has to do with compounding. The formula for compounding is this: P(1 + r)^t. That means add 1 to the rate in decimal form, raise it to the power depending on the amount of time that is passed, and multiply that number by the principal. The amount of views goes up 22% each week. 22% is 0.22 in decimal form. 1 + 0.22 is 1.22. Four weeks pass by. 1.22^4 is a long decimal, but you get 2.21533456. Don't delete that decimal from the calculator. Now, multiply that number by 15. When you do, you get 33.2300184 or 33 when rounded to the nearest whole number. In four weeks, 33 views are expected for a website.