# Question ee397

Aug 18, 2016

Make a problem involving exponential growth

#### Explanation:

The expression given is similar to the formula for compound interest, so the word problem must involve something to do with exponential growth. This can be a population of animals, cells, birds etc.

The starting number is 500.
The rate of growth is 1 3/4%
There are 20 intervals of time - whether this is days, weeks, months, years, will be your choice.

Note that it is an expression, not an equation, because it is not equal to a given value yet, and there is no unknown to solve for,

So you could start off with something like..

A population of 500 penguins increases at a rate of .....
How many will there be after .....

Hope this helps.

Aug 18, 2016

This is an equation of compounded growth. See explanation for one possible worded question.

#### Explanation:

What is the final sum in a savings account after 20 years if the principle sum is 500 and the compound interest is 1.75% calculated annually?

Note that 1.75% -= 1.75/100-=0.07/4#

So the equation would look like this:

$500 {\left(1 + \frac{1.75}{100}\right)}^{20} \to 500 {\left(1 + \frac{0.04}{4}\right)}^{20}$