# Worksheet: Introduction to Exponential Decay

Q1:

The production of a gold mine is decreasing with a rate of annually. Given that the mineβs production was 6β400 kg in the first year, determine its production in the sixth year, giving your answer the nearest integer.

Q2:

A car was valued at in the year 2007. By 2013, the value had depreciated to . Assuming continuous depreciation at the same rate, find, to the nearest dollar, the value of the car in 2017.

Q3:

The Asian elephant population years after the year 1900 is given by .

What was the Asian elephant population in 1900?

• A
• B
• C
• D
• E

According to this model, by what percentage has the Asian elephant population decreased over a century?

• A
• B
• C
• D
• E

Q4:

The function represents a decay in each period that measures. What is the value of ?

Q5:

Determine whether the data shown exhibits growth or decay, stating whether it is linear or exponential.

 π₯ π¦ β 2 β 1 0 1 2 3 2 4 0 0 1 2 0 0 600 300 150 75
• Alinear growth
• Bexponential growth
• Clinear decay
• Dexponential decay

Q6:

Determine whether the data shown exhibits growth or decay, stating whether it is linear or exponential.

 π₯ π¦ 0 1 2 3 2 9 7 0 990 330 110
• Alinear growth
• Bexponential growth
• Clinear decay
• Dexponential decay

Q7:

Which of the functions below represents exponential decay?

• A
• B
• C
• D

Q8:

Which of the functions below represents exponential decay?

• A
• B
• C
• D

Q9:

Which of the functions below represents exponential decay?

• A
• B
• C
• D

Q10:

The value of a car depreciates by per year. A new car costs . Write an expression for the carβs value in dollars when it is years old.

• A
• B
• C
• D
• E