Unit 4 Quiz Practice Exponential

Label

Select TWO functions that represent exponential decay

The equation $$f\left(t\right)=540,000\cdot\left(1.05\right)^t$$

represents the value of a house, in dollars, t years after it was purchased. What was the purchase price of the house?

a scientist is studying a colony of bacteria and models the number of bacteria as

$$f\left(t\right)=20\cdot2^t$$

where t is the number of hours. Based on the model, how many bacteria will there be after 6 hours?

A lake is 10 miles long, Its length is decreasing by 3% every 13 years. if f(x) is the lake's length in miles after x years, which function describes the situation?

Complete the table to determine whether each function represents

exponential growth or exponential decay.

The population of a town is currently 1.2 million people and is growing exponentially. The population is expected to increase by 15% every 20 years. A mayor models the population P ,in millions, of the town as

$$P=1.2\left(1.15\right)^{0.2t}$$

Determine whether each criterion is satisfied by the model. Select YES or NO for each.

Which of the follow represents a decreasing function?

A sample of bacteria has a weight of 26 mg and a half-life of 7 days. How much of the bacteria will remain after 1 week?

This model shows the value of a home where t is the number of years since the house was purchsed

$$f\left(t\right)=135,000\left(1.08\right)^t$$

How many years will it take for the value of the home to be over $200,000