1) Describe and define the slope of a line.
2) Sketch a graph of a line with a positive slope.
3) Sketch a graph of a line with a negative slope.
4) Sketch a graph of a line with a slope of zero.
5) Sketch a graph of a line with an undefined slope.
6) Find two points that have a rate of change that is \(-3\).
7) Find two points that have a rate of change that is \(11\).
8) Find two points that have a rate of change that is \(\dfrac{2}{5}\).
9) Find two points that have a rate of change that is undefined.
2) Sketch a graph of a line with a positive slope.
3) Sketch a graph of a line with a negative slope.
4) Sketch a graph of a line with a slope of zero.
5) Sketch a graph of a line with an undefined slope.
6) Find two points that have a rate of change that is \(-3\).
7) Find two points that have a rate of change that is \(11\).
8) Find two points that have a rate of change that is \(\dfrac{2}{5}\).
9) Find two points that have a rate of change that is undefined.
10) A plane left Chicago at 8:00 A.M. At 12:30 P.M., the plane landed in San Francisco, which is \(1850\) miles away. What
was the average speed of the plane for the trip?
was the average speed of the plane for the trip?
11) While you were on vacation in Eagle River, WI you decided to rent a jet ski. Below is a table that represents the cost of the jet ski as related to the hours that you decided to rent it. What is the rate of change of the cost with respect to time for each interval?
\begin{array}{|c|c|c|c|} \hline \mathrm{Time (Hours)} & 12 & 24 & 36\\ \hline \mathrm{Cost ($)} & 90 & 135 & 180 \\ \hline \end{array}
12) You have decided to hire a company to clean up after your dog. Based on the table below, decide which company you would hire and why?
\begin{array}{|c|c|c|} \hline \mathrm{Number \ of \ Visits} & \mathrm{"A \ Clean \ Yard" \ Cost \ $} & \mathrm{"The \ Scoop" \ Cost \ $}\\ \hline 2 & 18 & 16\\ \hline 4 & 28 & 32\\ \hline 5 & 38 & 36\\ \hline \end{array}
13) You have decided to attend the University of Hawaii, the fall meal plan is described in the table below. What is the rate of change of the cost with respect to meals? (adapted from http://uhmdining.com/plans.html)
\begin{array}{|c|c|c|}
\hline
\mathrm{Plan \ Names} & \mathrm{Plan \ Descriptions} & \mathrm{Total Cost}\\
\hline
\mathrm{Prime} & \mathrm{19 \ Meals + $100 \ Points} & $2,361\\
\hline
\mathrm{Choice} & \mathrm{14 \ Meals + $175 \ Points} & $1,841\\
\hline
\mathrm{Select} & \mathrm{10 \ Meals + $225 \ Points} & $1,415\\
\hline
\mathrm{Basic} & \mathrm{7 \ Meals + $250 \ Points} & $1,083\\
\hline
\end{array}
15) Below is a table that represents the cost to rent a pickup truck. Dave thinks that the rate of change is the same no matter how many miles the truck is driven. Rachel disagrees. Who do you agree with and why?
\begin{array}{|c|c|c|c|c|c|} \hline \mathrm{Miles} & 10 & 50 & 100 & 110 & 150\\ \hline \mathrm{Cost ($)} & 19.50 & 21.50 & 24.00 & 24.80 & 28.00 \\ \hline \end{array}
\begin{array}{|c|c|c|c|c|c|} \hline \mathrm{Miles} & 10 & 50 & 100 & 110 & 150\\ \hline \mathrm{Cost ($)} & 19.50 & 21.50 & 24.00 & 24.80 & 28.00 \\ \hline \end{array}
Review
Calculate the slope of the line that passes through the following points.
16) \( (-3,2), (-3,6) \)
17) \( (-3,4), (4,1) \)
18) \( (5,-3), (-5,-3) \)
19) \( (-10,-2), (-8,8) \)
Solution Bank
Calculate the slope of the line that passes through the following points.
16) \( (-3,2), (-3,6) \)
17) \( (-3,4), (4,1) \)
18) \( (5,-3), (-5,-3) \)
19) \( (-10,-2), (-8,8) \)
Solution Bank