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100
  • Y = 1200(1 + .3)x
  • Growth or  Decay           Initial Value           Rate of growth or decay

growth

1200

30%

100
  • Y = 55(1 - .02)x
  • Growth or Decay       Initial value            Rate of growth or decay

decay

55

2%

100
  • Y = 100(1.25)x
  • Growth or Decay       Initial value            Rate of growth or decay

growth

100

125%

100
  • Y = 5575(.65)x
  • Growth or Decay            Initial Value            Rate of growth or decay

decay

5575

65%

100

If the growth rate is 3.8% per

year and the current population is 1543,

what will the population be 5.2 years from

now?

1543(1.038)5.2

1873


200
  • Y = 10(1 + .04)x

Growth or Decay             Initial Value              Rate of growth or decay

growth

10

4%

200
  •  In 2010 an item cost $9.00. The price increases by 1.5% each year.

Equation _________________       Cost in 2030 $___________________

$9.00(1.015)20

$12.00

200
  • Your starting salary at a new company is $34,000 and it increase by 2.5% each year.

Equation ______________           Salary in 5 years $_________________

$34,000(1.025)5

$38,468

200
  • The population of a small town was 3600 in 2005. The population increases by 4% annually

Equation ______________           Population in 2025 _________________

3600(1.04)20

7888

200
  • Y = 2250(1 - .9)x
  • Growth or Decay            Initial Value              Rate of growth or decay

decay

2250

90%

300

You decide to borrow money at 22% interest per year, how much will you owe on a loan of $5,000. What will you own after three years?

$5,000(1.22)3

$9,079

300
  • Y = 14,000(.92)x
  • Growth or Decay            Initial Value              Rate of growth or decay

decay

14,000

92%

300
  • Your car cost $42,500 when you purchased it in 2015. The value of the car decreases by 15% annually.

Equation __________________      Car’s worth in 2022 $______________

$42,500(.85)7

$13,625

300

The population of Bloom Falls, Mass. (population 

937) is slowly moving to a bigger city. Every year

the population drops by 4.5%. What is the population after 3 years?

937(.955)3

816

300
  • You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year.

Equation __________________      Stock value in 2017 $______________

$2,000(.9)5

$1,181

400
  • The first year of a charity walk event had an attendance of 500. The attendance y increases by 5% each year.

Equation ________________      How many to attend the 10th year _________

500(1.05)10

814

400
  • Y = 2000(1.05)x
  • Growth or Decay            Initial Value             Rate of growth or decay

growth

2000

5%

400
  • The yearly profits of a company is $25,000. The profits have been decreasing by 6% per year.

Equation __________________     Profits in 8 years $________________


$25,000(.94)8

$15,239