Exponential Equations Context

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^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

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

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

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%

Describe the association of the scatter plot.

• Linear

• Exponential; Growth

• Exponential; Decay

• Linear; negative association