Exponential Regression Practice

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^x

Write the equation that represents the table below:

• y=½(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(½)^x

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

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^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%

Use Desmos to find the exponential regression equation that best fits the data set. Round to the nearest hundredth.

Mathematical Equivalence

ON

Use Desmos to find the exponential regression equation that best fits the data set. Round to the nearest hundredth.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Jonah makes monthly deposits into his savings account. The total amount in his account, T(x), after x deposits is shown in the table below. Use the regression equation that best fits the data set to the nearest hundredth and estimate how much money Jonah will have in his account after 18 months.

Mathematical Equivalence

ON