The table below shows the number of books sold by each of the six bookstores and the sales made by each store in a week. Use the table to answer questions.

$$\begin{array}{|l|c|c|c|c|c|} \hline \text { Bookstore } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\ \hline \text { Number of Books Sold } & 523 & 702 & 523 & 982 & 754 \\ \hline \text { Sales } & \$ 2,569 & \$ 869 & \$ 2,317 & \$ 5,032 & \$ 869 \\ \hline \end{array}$$

Draw a mapping diagram to represent the relation between the sales made by the bookstores and the number of books sold in the week. Identify the type of relation between the sales made by the bookstores and the number of books sold. Then tell whether the relation represented by the mapping diagram is a function. Explain.

Tell whether each table, equation, or graph represents a linear function. If so, find the rate of change. Then tell whether the function is increasing or decreasing.

$$v=\ell^3, \ell>0$$

Tell whether each table, equation, or graph represents a linear function. If so, find the rate of change. Then tell whether the function is increasing or decreasing.

$$3 y+2 x=10$$

Tell, whether the relation described, is a function. Use a graph to support your answer.

A veterinarian weighed some puppies to see if their weight depends on age. The table shows the ages, $x$ months, and the weights, $y$ pounds, of the puppies. Use 1 unit on the horizontal axis to represent 1 month for the $x$ interval, and 1 unit on the vertical axis to represent 1 pound for the $y$ interval.

$$\begin{array}{|l|l|l|l|l|l|} \hline \text { Input, Age (x months) } & 2 & 3 & 5 & 5 & 6 \\ \hline \text { Output, Weight (y pounds) } & 1 & 2 & 4 & 5 & 7 \\ \hline \end{array}$$

Tell, whether the relation described, is a function. Use a graph to support your answer.

A tank contains 3 liters of water. The water in the tank is draining out at a rate of $0.5$ liter per hour. Use 1 unit on the horizontal axis to represent 1 hour for the $x$ interval from 0 to 6, and 1 unit on the vertical axis to represent $0.5$ liter for the y interval from 0 to $3.0$.

Tell whether each table, equation, or graph represents a linear function. If so, find the rate of change. Then tell whether the function is increasing or decreasing.

$$\begin{array}{|c|c|c|c|c|} \hline x & -5 & -3 & 0 & 4 \\ \hline y & 12 & 6 & 0 & -6 \\ \hline \end{array}$$

Tell, whether the relation described, is a function. Use a graph to support your answer.

The cost, $y$ dollars, of some cheese that costs $\$ 3$ per pound varies directly with the weight, $x$ pounds, of the cheese. Use 1 unit on the horizontal axis to represent 1 pound for the $x$ interval from 0 to 6, and 1 unit on the vertical axis to represent $\$ 3$ for the $y$ interval from 0 to 18.

Tell whether each table, equation, or graph represents a linear function. If so, find the rate of change. Then tell whether the function is increasing or decreasing.

$$\begin{array}{|c|c|c|c|c|} \hline x & 3 & 6 & 9 & 12 \\ \hline y & -16 & -11 & -6 & -1 \\ \hline \end{array}$$

Describe the relation between the inputs and the outputs.

The relation between the inputs and the outputs is a ? -to- ? relation.

Write a verbal description of each function. Then write an algebraic equation for the wish

Mr. Henderson pays a monthly charge of $\$ 40$ for a family cell phone plan. Each additional family member pays $\$ 10$ every month. The total amount Mr. Henderson on this family members pays each month, $y$ dollars, is a function of the number of additional family members who use the plan, $x$.

Tell whether the equation $y=-2 x+3$ can represent each of the following functions.

$$\begin{array}{|c|c|c|c|} \hline x & 1 & 2 & 3 \\ \hline y & -1 & -3 & -5 \\ \hline \end{array}$$

$$\begin{array}{|c|c|c|c|c|c|} \hline x & -5 & -3 & -1 & 1 & 3 \\ \hline y & 28 & 26 & 22 & 14 & 4 \\ \hline \end{array}$$

Because the rate of change for the function is ?. the table represents a ? function.

Write an algebraic expression for each of the following.

y highlighters are shared equally among 9 students. One of the students, Jessie, then buys another 3 highlighters. Write an algebraic expression for the number of highlighters she has in total.

Solve each system of linear equations by making tables of values. Each variable $x$ is a positive integer less than 7.

$$4 y+3 x=19$$

$$x+y=5$$