Exponential Regression from a Graph

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

• Exponential Growth
• Exponential Decay
• Linear
• None

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

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

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

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

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

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%

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

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

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

• about 121622

• about 173602

• about 23774

• about 469111

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