Exponential Growth and Decay - including % increase/decrease!

Choose the equation that represents the scenario:

There are 8 boar in Mr. Bean’s woods. Their population increases by 24% every year.

The population of Brustville is currently 30,000 people. If the population increases by 103.7% annually, find the population of Brustville in 10 years. Round to the nearest whole number.

(a)  

Choose the equation that fits these points.

• a = 5

  23.7% increase

• a = -5

  123.7% increase

• a = -5

  23.7% increase

• a = 5

  123.7% increase

• a = 5.8

  10.1% increase

• a = 5.8

  210.1% increase

• a = -5

  23.7% increase

• a = 5.8

  110.1% increase

• Growth

• Decay

• Growth

• Decay

Choose the equation that represents the scenario:

A new van is purchased for $30,000 and depreciates in value by 8.4% per year.

The new tires on an ATV have a tread depth of 1.3 inches and decay at a rate of 5.6% per month. How much tread is left on the tires after 4 months? Round to the nearest hundredth (two decimal places).

(a)  

• a = 502

  40% decrease

• a = 502

  60% decrease

• a = -5

  23.7% increase

• a = 5.8

  110.1% increase