Tell whether the function represents exponential growth or exponential decay. Then graph the function. f(x)=(0.25)^x

The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the count grows exponentially, what was the initial size of the culture? What was the doubling period?

Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent. ${\displaystyle y=a{\left(\frac{3}{2}\right)}^t}$

An unknown radioactive element decays into non-radioactive substances. In 720 days the radioactivity of a sample decreases by 33 percent.
(a) What is the half-life of the element? half-life:_____
(6) How long will it take for a sample of 100 mg to decay to 47 mg? time needed:____

Using the concept of exponential growth and exponential decay. Solve the given problem.
1. A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years,
a. Derive a function P that determines the population t years after 2012.
b. What is the expected population in 2020?

Identify the function as exponential growth or exponential decay.
${\displaystyle y=0.3\cdot {0.5}^x}$

Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year.
a. Create an exponential function of the form
$Q=Q_0\times (1+r)t$​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described

State whether the equation represents exponential growth, exponential decay, or neither. $y=0.82\cdot 3^x$