Graphing+Linear+Functions-Target+F-Rate+It-Practice+Problems

Target F: Identify and compare rates of change
Rate It


 * 1)** Describe and define the slope of a line.


 * 2)** Sketch a graph of a line for a slope values of positive.


 * 3)** Sketch a graph of a line for a slope values of negative.


 * 4)** Sketch a graph of a line for a slope values of zero.


 * 5)** Sketch a graph of a line for a slope values of undefined.

Calculate the slope of the line that passes through the following points. math \text{6)} \ (\text{-}3,2) \ (\text{-}3,6)\\ math

Calculate the slope of the line that passes through the following points. math \text{7)} \ (\text{-}3,4) \ (4,1)\\ math

Calculate the slope of the line that passes through the following points. math \text{8)} \ (5,\text{-}3) \ (\text{-}5,\text{-}3)\\ math

Calculate the slope of the line that passes through the following points. math \text{9)} \ (\text{-}10,\text{-}2) \ (\text{-}8,8)\\ math

**10)** 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?

math \begin{array}{|c|c|c|c|} \hline \mathrm{Time (Hours)} & 12 & 24 & 36\\ \hline \mathrm{Cost ($)} & 90 & 135 & 180 \\ \hline \end{array} math

math \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} math
 * 11)** 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)


 * 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?

math \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} math