5.13.5 Practice

Complete the following questions to practice the skills you have learned in this lesson.

1. Here is a graph of $p$, an insect population, $w$ weeks after it was first measured. The population grows exponentially.
   
   1. What is the weekly factor of growth for the insect population?

2. What was the population when it was first measured?

3. Write an equation relating $p$ and $w$.

1. $p=-<!--\; -\; -->300\cdot <!--\; \cdot \; -->3^w$
2. $p=\frac{300}{3^w}$
3. $p=300\cdot <!--\; \cdot \; -->3^w$
4. $p=300+3^w$

2. Here is a graph of the function $f$ defined by $f(x)=a\cdot <!--\; \cdot \; -->b^x$.
   
   Select three possible values of $b$.;

1. 0
2. $\frac{1}{10}$
3. $\frac{1}{2}$
4. $\frac{9}{10}$
5. 1
6. 1.3
7. $\frac{18}{5}$

3. The function $f$ is given by $f(x)=50\cdot <!--\; \cdot \; -->(\frac{1}{2}{)}^x$, and the function $g$ is given by
   Here are graphs of $f$ and $g$.
   
   
   
   Which graph is the graph of $f(x)$?;

1. Graph 2
2. Graph 1

4. The function $f$ is defined by $f(x)=50\cdot <!--\; \cdot \; -->3^x$. The function $g$ is defined by \(g(x)=a
   Here are graphs of $f$ and $g$.
   
   
   
   
   1. In $g(x)$, $a$ is greater than/less than 50.

1. less than
2. greater than

2. In $g(x)$, $b$ is greater than/less than 3.

1. less than
2. greater than