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In this lesson, we will learn how to use the properties of exponential decay to solve real-world and mathematical problems and to differentiate between types of decay.

Q1:

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

Q2:

Q3:

The production of a gold mine is decreasing with a rate of annually. Given that the mineβs production was 6β400 kg in the first year, determine its production in the sixth year, giving your answer the nearest integer.

Q4:

The function π¦ = π΄ π π₯ represents a 1 5 % decay in each period that π₯ measures. What is the value of π ?

Q5:

Which of the functions below represents exponential decay?

Q6:

The value of a car depreciates by 8 % per year. A new car costs $ 2 0 , 0 0 0 . Write an expression for the carβs value in dollars when it is π‘ years old.

Q7:

The Asian elephant population π‘ years after the year 1900 is given by π = 1 0 0 0 0 0 β 0 . 2 5 π‘ / 1 0 0 .

What was the Asian elephant population in 1900?

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

Q8:

A car was valued at $ 3 8 0 0 0 in the year 2,007. By 2,013, the value had depreciated to $ 1 1 0 0 0 . Assuming continuous depreciation at the same rate, find, to the nearest dollar, the value of the car in 2,017.

Q9:

Q10:

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