Alg2 6-1 & 6-2 Check

15,000 blue trout were released into the Meherrin River for a scientific study. The function,  $f\left(x\right)=15,000\left(\frac{9}{8}\right)^x$   , represents the number of blue trout after x years. In 5 years, what will happen to the population?

• It will decrease by about 2,000.

• It will decrease by about 12,000.

• It will increase by about 2,000.

• It will increase by about 12,000.

For the function  $f\left(x\right)=6\left(\frac{1}{2}\right)^x$  , identify the domain.

•  $x<0$  

•  $x>0$  

• all real numbers

For the function  $f\left(x\right)=6\left(\frac{1}{2}\right)^x$  , identify the range.

•  $f\left(x\right)<0$  

•  $f\left(x\right)>0$  

• all real numbers

For the function  $f\left(x\right)=6\left(\frac{1}{2}\right)^x$  , identify the y-intercept.

•  $\left(0,\ \frac{1}{2}\right)$  

•  $\left(0,\ 1\right)$  

•  $\left(0,\ 2\right)$  

For the function  $f\left(x\right)=6\left(\frac{1}{2}\right)^x$  , identify the asymptote.

•  $y=6$  

•  $y=1$  
  

•  $y=0$  
  

The rabbit population of Springfield, Ohio was 144000 in 2016. It is expected to decrease by about 7.2% per year. Write an exponential decay function, P(t).

The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Use the exponential decay function, P(t) to approximate the population in 2036.

Steve invests $1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the value of the account after 10 years? Round your answer to the nearest dollar.

• about $2,466

• about $2,589

• about $2,601

• about $2,606

Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.

Write a function for the amount, that will be in the account after t years.

The parts of the equation are listed in the table above.

Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.

What is the value of the account after 8 years? Round to the nearest penny.