Growth or Decay Story Problem

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

If you have $10, and your money doubles every year, how much money will you have in 10 years?

• $50

• $100

• $5120

• $10240

The table has an initial value of ​ (a)   and demonstrates exponential ​ (b)   at a factor of​ (c)   .

• 2

• growth

• 5

• -1

• decay

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.

• 3,000

• growth factor

• 0.04

• interest rate

• (1+0.04)

• Initial deposit

• t

• time

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1+ 0.14)^x

• y=6(1 - 0.14)^x