Algebra 2 Unit 3

In 1990, the value of a home was $170,000. Since then, its value has increased 5% per year. Write an equation to represent the value of the home as a function of time in years since 1990.

At the beginning of the year a blogger had 200 subscribers. Since then, the number of subscribers has been doubling every 8 weeks. Select ALL equations that represent the number of subscribers, S, in terms of w weeks since the beginning.

The graph shows a wolf population which has been growing exponentially each year. Write an equation relating the wolf population w, and the number of years since it was measured, t.

The graph shows the number of flu cases increasing exponentially. Which function correctly relates the number of flu cases to the number of weeks?

What is the yearly growth factor?

The function represents a population increasing exponentially in y years. Which function correctly shows the population in m months?

The function represents a population decreasing exponentially in w weeks. Which function correctly shows the population in d days?

The table shows the amount of caffeine in a person's system decreasing exponentially. Write an equation for m(h), where m is the amount of caffeine and h is the time in hours.

The value of a car is decreasing exponentially according to the function V(y). This tells us the value has a decay factor of 0.73 over how many days?

• 5

• 7

• 25

• 73

A population is increasing exponentially according to the function P(t). This tells us the population has a growth factor of 1.28 over how many days?

• 3

• 7

• 13,900

• 28