Exponential Function

Simplify the expression: $$a^2\times a^3$$

Simplify the expression: $$\left(c^5\right)^3$$

Simplify the expression: $$\frac{b^7}{b^5}$$

The population of a colony of bacteria cells grows with time. The table shows the population of cells on each day for 6 days. What type of data are the population of cells as a function of time?

The population of a small town can be modeled by the equation $$f\left(x\right)\ =\ 4800\left(1.02\right)^t$$ where t is

the number of years since the collection of the population data began. Which statement is true?

The population of Austinberg on January 1, 2000 was 1.4 million. The

population has decreased at a rate of 12% each year since. Which

equation models the population (in millions), p, of Austinberg t years

after January 1, 2000?

The number of bacteria in a culture after t weeks is represented by the

function $$f\left(t\right)=4\left(2\right)^t$$ . What is the number of bacteria in that culture after

3 weeks?

The function below represents the approximate population of a city x

years after the year 2010.

$$f\left(x\right)\ =\ 12,000\left(1.03\right)^x$$

What was the population of the city in 2013?

Which situation is best modeled by an exponential function?

The function $$f\left(x\right)\ =\ 20\left(4\right)^x$$ represents the total number of bacteria in a

petri dish, f(x), after x hours. Which statement is true about the

bacteria?