Exponential Functions What Is the Percentage

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

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

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

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

• linear

• exponential

• quadratic

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

• 6

• 26

• 0.94

• 1.06

Is the table linear, exponential, or neither?

• Linear

• Exponential

• Neither