Exponential Functions Review

Which exponential equation represents the table of values?

Answer explanation

The correct choice is Exponential because the relationship between the values is not constant but rather increasing or decreasing at a non-linear rate.

What is the equation of this table?

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(0.985)^t

• y = 1500(0.015)^t
• y = 1500(1.015)^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(3)^x

• f(x)=400(0.97)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

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

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

A radioactive element decays at a rate of 6% yearly. There are 26 grams of the substance present. What is the initial value?

• 6

• 26

• 0.94

• 1.06