Exponential Regression and Predictions

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

Tags

CCSS.HSF.LE.A.2

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t
• y = 1500(0.015)^t
• y = 1500(1 + 0.015)^t
• y = 1500(1.5)^t

Tags

CCSS.HSF.LE.A.2

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

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

Tags

CCSS.HSF-IF.C.8B

Write the exponential regression equation for the data.

• Y=4.61(3.1)^x

• Y=4.61(0.31)^x

• Y=4.61(4.1)^x

• Y=4.61(31)^x

Tags

CCSS.HSF.LE.A.2

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function and predict the amount of material remaining after 10 weeks.

• 870

• 57

• 27

• 32

Tags

CCSS.HSF.LE.A.2

After 9 days, approximately how many grams of this substance will exist?

• about 121622

• about 173602

• about 23774

• about 469111

Tags

CCSS.HSF.LE.A.2

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=32.4•1.13^x

• y=1.13•32.4^x

• y=32.4+1.13x

• y=32.4x+1.13

Tags

CCSS.HSF.LE.A.2