1.02: Exponential Growth and Decay

Felicia invested $25,000 into an account earning 3% annual interest compounded quarterly. She makes no other deposits into the account and does not withdraw any money. What is the balance of Felicia's account in 9 years?

$32,716.13

Lynne invested $35,000 into an account earning 4% annual interest compounded quarterly. She makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5 years? $37,153.21 $39,438.88 $42,706.65 $56,295.30

$42,706.65

A research study in the 2000 found that there were 440 coyotes in a given region. The coyote population is expected to grow at a rate of 17% each year. What is the coyote population in 2006? Round your answer to the nearest whole number. Enter your answer in the box.

1129

The number of trucks registered in a city each year increases by 10% each year. Initially there were 100 trucks registered. Write a function T(r)T(r) that represents the number of trucks registered in the city in year r. What is the number of trucks registered in the city in Year 8? Round your answer to the nearest whole number. Enter your answer in the box.

214

The bird population on an island is declining at a rate of 2.2% per year. The population was 3500 in the year 2009. Which answer is the best prediction of the population in the year 2015? 2730 3063 3132 3423

3063

The fly population on an island is declining at a rate of 1.7% per year. The population was 4600 in the year 2009. Which answer is the best prediction of the population in the year 2016? 4010 4080 4120 4150

4080

The number of books donated to a library each month of a particular year is increasing by 25% each month. Initially, there were 80 books donated by the end of month 0. Write a function B(m)B(m) that represents the number of books donated by the end of month m. What is the number of books donated to the library by the end of month 10? Round your answer to the nearest whole number. Enter your answer in the box.

745

In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. What is the population of the town in 2006? Round your answer to the nearest whole number. Enter your answer in the box.

9667

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to complete the table.

Exponential Growth: A=20,000(1.08)^t A=40(3)^t P=17,000(1.07)t Exponential Decay: A=80(1/2)^t A=16000(0.8)^t P= 17,000(0.93)^t

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to complete the table.

Exponential Growth: y=4000(1.0825)^t y=1700(1.25)^t y=1.5(10)^t Exponential Decay: y=240(1/2)^t y=12,000(0.72)^t y=8000(0.97)^t