Algebra 2 | Unit 4 | Lesson 2: Representations of Growth and Decay | Practice Problems

The value of a home is $170,000 in 1990 and it has increased by 5% per year. Find the approximate value of the home in 1993. Write an equation representing the home value as a function of time \(t\) in years since 1990. Will the home value exceed $500,000 in 2020?

The graph shows a wolf population growing exponentially. What was the population when first measured? By what factor did it grow in the first year? Write an equation for the wolf population \(w\) based on years since measurement \(t\).

Here is the graph of an exponential function \(f\). Find an equation defining \(f\). Explain your reasoning.

The equation \(f(t) = 24,\!500 \cdot (0.88)^t\) represents the value of a car \(t\) years after purchase. What do the numbers 24,500 and 0.88 mean? What does \(f(9)\) represent? Sketch a graph showing \(f(0)\), \(f(1)\), and \(f(2)\).

The first two terms of an exponential sequence are 18 and 6. What are the next 3 terms of this sequence?

A bacteria population doubles each day for 5 days and is currently 100,000. What was the population 5 days ago? Explain your reasoning.

Select all expressions equivalent to \(27^{\frac13}\).

• 3

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