Topic 6.3 - Exponential Growth & Decay

Start at 5,000

1 year later = 5,000 + 15% (0.15 x 5,000 = 750) = 5,750

2 years later = 5,750 + 15% (0.15 x 5750 = 862.5) = 6,612.5

3 years later - 6,612.5 + 15% (0.15 x 6612.5 = 991.875) = 7,604.375

4 years later - 7,604.375 + 15% (0.15 x 7604.375 = 1,140.65625) = 8,745.03125

5 years later - 8,745.03125 + 15% (0.15 x 8745.03125 = 1,311.75469) = 10,056.7859

So...the population would be about 10,057 after 5 years!

​

​The town started with 5,000 people and increased by 15% each year.

y = 5,000 ( 1 + 0.15)^x

y = 5000 (1.15)^x

Now use this equation to find the population (y) after 5 years (x).

​Replace with sub-header

Replace this with your body text. Duplicate this text as many times as you would like. All provided templates can be reused multiple times. Wish you a good day.

Happy teaching!

A video is labeled a fan favorite if it receives at least 1,000 views per day. Amelia posts a video that gets 8,192 views on the first day. The number of views decreases by 25% each day after that. In how many days total will the video stop being a fan favorite?

y = 8192( 1 - 0.25)^x

y = 8192 (0.75)^x

^{Now try different inputs to see when her views fall below 1,000!}

​

This type of interest is an exponential growth, but with a twist, since your interest is added to the principal amount more than once per year!

​

Compound Interest

Mark took a loan out for $25,000 to purchase a truck. At an interest rate of 5% compounded monthly, to the nearest dollar, how much total will he have paid after 5 years?

P = 25,000

r = 5%

n = 12 (monthly)

t = 5

​