Exponential

What do you remember? Exponential

Percent increase/decrease The Equation 𝐴= 𝐴 0 1± 𝑟 100 𝑡 Time Initial amount Growth/Decay Rate

The Population problem The population of Baconburg starts off at 20,000 and grows 13% each year. Write an exponential model and find the population after 10 years. 𝐴 0 = 20, 000 r = 13 t = t but substitute in 10 𝐴=20000 1+ 13 100 𝑡 67,891

The House Problem $139,500 𝐴 0 = 150000 r = 7 A house purchased for $150,000 in 2002. The value of the house depreciates at a rate of 7%. How much is the house worth in 2013 𝐴 0 = 150000 r = 7 t = t but substitute in 11 𝐴=150000 1− 7 100 𝑡 $139,500

The Frog Problem 300 Frogs 𝐴 0 = 100 r = 22 t = t but substitute in 6 A population of 100 frogs increase at an annual rate of 22%. How many frogs will there be in 6 years? 𝐴 0 = 100 r = 22 t = t but substitute in 6 𝐴=100 1+ 22 100 𝑡 300 Frogs

The Bird Problem 7046 birds 𝐴 0 = 5400 r = 3 t = t but substitute in 9 A number of birds in a forest decrease by 3% per year. Originally there were 5,400 birds. How many birds will there be in 9 years? Round to the nearest whole number. 𝐴 0 = 5400 r = 3 t = t but substitute in 9 𝐴=5400 1+ 3 100 𝑡 7046 birds