The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.

$$\begin{matrix} \text{Hours, x} & \text{0} & \text{2} & \text{4}\\ \text{Power Remaining, y} & \text{1.0} & \text{0.6} & \text{0.2}\\ \end{matrix}$$

a. Write and graph a linear function that relates y to x. b. Interpret the slope, the x-intercept, and the y-intercept. c. After how many hours is the battery power at 75%?

The table shows the length y (in inches) of a person's hair after x months.

$$\begin{matrix} \text{Months, x} & \text{Hair Length, y}\\ \text{0} & \text{11.0}\\ \text{3} & \text{12.5}\\ \text{6} & \text{14.0}\\ \end{matrix}$$

a. Write and graph a linear function that relates y to x. b. Interpret the slope and the y-intercept.

The function

$$d ( t ) = 300,000 t$$

represents the distance (in kilometers) that light travels in t seconds. a. How far does light travel in 15 seconds? b. How long does it take light to travel 12 million kilometers?

Add commas where necessary. Delete commas used incorrectly using the delete symbol. Unlike most owls the small saw-whet owl is quite tame.

The table shows the cost y (in dollars) of renting x movies. a. Which variable is independent? dependent? b. Write a linear function that relates y to x. Interpret the slope. c. Graph the linear function. d. How much does it cost to rent three movies?

$$\begin{array}{lllll} \begin{array}{l} \text { Number of } \\ \text { Movies, } x \end{array} & 0 & 1 & 2 & 4 \\ \hline \text { cost, } y & 0 & 3 & 6 & 12 \end{array}$$

A bunny hop is a bike trick in which the rider brings both tires off the ground without using a ramp. The table shows the height y (in inches) of a bunny hop on a bike that weighs x pounds. a. Write a linear function that relates the height of a bunny hop to the weight of the bike. b. Graph the linear function. c. What is the height of a bunny hop on a bike that weighs 21.5 pounds?

Evaluate each expression for r = -3 and s = 5. $2^{-4} r^{3} s^{-2}$

Find the number of solution of the equation.

$$x^{2}+x=0$$

You randomly survey students in your school about the color of their eyes. The results are shown in the tables.

$$\begin{matrix} \text{Eye Color of Males Surveyed} & \text{ } & \text{ }\\ \text{Green} & \text{Blue} & \text{Brown}\\ \text{5} & \text{16} & \text{27}\\ \text{ }\\ \text{ }\\ \end{matrix}$$

$$\begin{matrix} \text{Eye Color of Females Surveyed} & \text{ } & \text{ }\\ \text{Green} & \text{Blue} & \text{Brown}\\ \text{3} & \text{19} & \text{18}\\ \text{ }\\ \text{ }\\ \end{matrix}$$

a. Make a two-way table. b. Find and interpret the marginal frequencies for the survey. c. For each eye color, what percent of the students in the survey are male? female? Organize the results in a two-way table.

Perform the operations and simplify as much as possible. $\frac{4}{x}+\frac{3}{5 x^{2}}$

What happens to the gravitational potential energy of a rock as it falls from your hand toward the sand below?

A charitable organization is having a raffle for a single prize of $7000. Each raffle ticket costs$3, and 9000 tickets have been sold. (a) Find the expected gain for the purchaser of a single ticket. (b) Find the expected gain for the purchaser of two tickets.

Sketch the graph of the rational function. To aid in sketching the graphs, check for intercepts, symmetry, vertical asymptotes, and horizontal asymptotes. $f(x)=\frac{x+4}{x-5}$

A 5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is $3.0 \mathrm{m} / \mathrm{s}^{2}$, find the force exerted by the rope on the bucket of water.