exponential functions

Is this exponential growth or decay?

• Growth
• Decay

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 500 cells and dies by 30% each year. Write an equation that represents this situation.

• y = 500(0.7)ⁿ
• y = 500(1.3)ⁿ
• y = 500(1.7)ⁿ
• y = 500(1.13)ⁿ

Tags

CCSS.HSF.LE.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2010?

• $344,022

• $331,500

• $15,000

• $28,500

Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?

• 13 grams
• 6.5 grams
• 1.22 grams
• 592.31 grams

Tags

CCSS.HSF.LE.A.4

. You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 16
• 17
• 18
• 19

Tags

CCSS.HSF.LE.A.4

The number of farms in Indiana (in thousands) can be modeled by F = 115,000(.987)^t, where t is the number of years since 1980.  According to the equation, when will the number of farms in Indiana be about 50,000?

• 54 years
• 64 years
• 76 years
• 67 years

 Halle deposited $4000 into an account that earns 5% interest each year.  The growth of her investment can be expressed by the exponential equation, A = 4000(1 + .05)^t, where A is the amount in the account after t years.  In how many years will her account exceed $10,000?

• 19 years
• 16 years
• 22 years
• 25 years