Unit 5 Exponential Functions

Which expression equals $$3^5$$  ?

Evaluate the expression $$4\cdot3^x$$  when x is 6.

(a)  

Katelyn rewrites $$2\cdot7^x$$  as 14x. Do you agree with Katelyn that these are equivalent expressions? Explain your reasoning.

A population of lady bugs is 20,000 at the start of May. Since then, it doubles each month. Complete the table. (Left column is months since May. Right column is number of lady bugs. Start at 0.)

A population of lady bugs is 20,000 at the start of May. Since then, it doubles each month. If there are n lady bugs in one month, how many lady bugs will there be a month later?

(a)  

A water tank contain 400 gallons of water. A hose is turned on, and it fills the tank at a rate of 22 gallons per minute. Which expression represents the amount of water in the tank, in gallons, after 10 minutes?

The population of a city is 200,000. It triples each decade for 4 decades. Select all expressions that represent the population of the city after 4 decades.

Which expression is equal to $$3^0\cdot3^3$$  ?

Select all expressions that are equivalent to $$4^9$$  

A sea horse population p is modeled by the equation $$p=300\cdot\left(\frac{6}{5}\right)^y$$  where y is the number of years since the population was first measured. How many sea horses are in the population when it is first measured? Where do you see this in the equation?

(a)