This problem is a checkpoint for the exponential web. It will be referred to as Checkpoint 11.

1. Graph $y = 2\left(0.75\right)^{x}$.

2. Write the equation for the exponential function based on the table below.
   

   $x$	$f\left(x\right)$
   $1$	$23$
   $2$	$52.9$
   $3$	$121.67$
   $4$

3. The population of Flood River City is now $42,000$. Experts predict the population will decrease $25\%$each year for the next five years. What will be the population in five years?

4. A share of Orange stock that was worth $$25$ in 2000 was worth $$60$ in 2010. What is the annual multiplier and percent increase?

Check your answers by referring to the Checkpoint 11 materials located at the back of your book.

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 11 materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.