The results of a survey of 45 students and the foreign language they are studying are shown in the two-way frequency table.

$$\begin{array}{c} \\ \text{Language} \\ \begin{array}{|c|c|c|c|c|} \hline \text { Gender } & \text { Chinese } & \text { French } & \text { Spanish } & \text { Total } \\ \hline \text { Girl } & 2 & 8 & 15 & 25 \\ \hline \text { Boy } & 4 & 4 & 12 & 20 \\ \hline \text { Total } & 6 & 12 & 27 & 45 \\ \hline \end{array} \end{array}$$

What fraction of the surveyed students are taking Chinese?

A researcher surveyed 135 people, 85 females and 50 males. The researcher asked each person which of the following types of movies they preferred: action, comedy, or drama. Complete the table.

$$\begin{array}{c}\\ \text{Favorite Type of Movie} \\ \begin{array}{|c|c|c|c|c|} \hline \text { Gender } & \text { Action } & \text { Comedy } & \text { Drama } & \text { Total } \\ \hline \text { Female } & 35 & & 18 & \\ \hline \text { Male } & 12 & 28 & & \\ \hline \text { Total } & & & 28 & \\ \hline \end{array} \end{array}$$

Look at each variable. Is the variable best represented by categorical data? Choose Yes or No for each variable. A. Favorite song B. Car color C. Weight

Complete the two-way frequency table. Interpret the meaning of the number in the starred cell of the table.

$$\begin{array}{c} \\ \qquad \qquad\text{Preferred Mode of Transportation} \\ \begin{array}{|c|c|c|c|c|} \hline \text { Age } & \text { Bike } & \text { Car } & \text { Bus } & \text { Total } \\ \hline \text { Adults } & 25 & 3 & 12 & \\ \hline \text { Teenagers } & 5 & 28 & 12 & \\ \hline \text { Total } & & & & \\ \hline \end{array} \end{array}$$

Identify whether the given data is categorical or quantitative. gold medal, silver medal, bronze medal ______ 100 m, 200 m, 400 m _____

A golf course charges $18 for a package including the full 18-hole course. The course also sells buckets of golf balls for$20 each. The golf course would like to earn $400 by the end of the day. Write a linear equation that describes the problem.

The amount of fresh water left in the tanks of a nineteenth-century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in point-slope form that represents the function. Then find the amount of water that will be left in the ship's tanks 50 days after leaving port.

$$\begin{array}{|c|c|} \hline \text { Time (days) } & \text { Amount (gal) } \\ \hline 1 & 3555 \\ \hline 8 & 3240 \\ \hline 15 & 2925 \\ \hline \end{array}$$

At which trophic level are dragonflies that consume mosquitoes that feed on herbivorous mammals?

In this lesson, you learned that the slope of a line is constant. Does this mean that all lines with the same slope are the same line? Explain.

Kathryn is walking on a treadmill at a constant pace for 30 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. a. Write and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. b. Find and interpret the x- and y-intercepts.

Let a_1, a_2, a_3, . . . be a geometric sequence with initial term a and common ratio r. Show that (a_1)^2, (a_2)^2, (a_3)^2, . . . is also a geometric sequence by finding its common ratio.

Explain why the graph of a sequence is a set of points that are not connected.

Farah pays a $25 signup fee to join a car sharing service and a$7 monthly charge. The total cost of using the car sharing service for n months can be found using C(n) = 25 + 7n. The table shows the cost of the service for 1, 2, 3, and 4 months. a. Complete the table for C(n) = 25 + 7n

$$\begin{array}{|l|c|c|c|c|c|} \hline \text { Months } & n & 1 & 2 & 3 & 4 \\ \hline \text{ cost (\$) } & f(n) & & & & \\ \hline \end{array}$$

b. What are the domain and range of the sequence? c. What is the common difference d?

A park charges $12 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid$47 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?