Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average.

$$\begin{matrix} \text{Hours of} & \text{Grade-Point}\\ \text{Video Games} & \text{Average, G}\\ \text{per Week, h} & \text{ }\\ \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

Use a graphing utility to find the line of best fit that models the relation between number of hours of video game playing each week and grade-point average. Express the model using function notation.

Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average.

$$\begin{matrix} \text{Hours of} & \text{Grade-Point}\\ \text{Video Games} & \text{Average, G}\\ \text{per Week, h} & \text{ }\\ \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

Explain why the number of hours spent playing video games is the independent variable and cumulative grade-point average is the dependent variable.

Create a coloring book of day- neutral plants, long-day plants, and short- day plants. Label the drawings with the plant's name and how it responds to darkness.

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is $\frac{3}{2}$. Is he correct? If not, what went wrong?

Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is $R(p)=-4 p^{2}+4000 p$ For what range of prices will revenue exceed $800,000?

Professor Grant Alexander wanted to find a linear model that relates the number h of hours a student plays video games each week to the cumulative grade-point average G of the student. He randomly selected 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student's cumulative gradepoint average.

(a) Justify why the number of hours spent playing video games is the independent variable and cumulative grade-point average is the dependent variable.

(b) Use a graphing utility to illustrate a scatter plot.

$(c)$ Use a graphing utility to find the line of best fit that models the relation between number of hours of video game playing each week and grade-point average. Write the model using function notation.

(d) Describe the slope of the line of best fit.

(e) Estimate the grade-point average of a student who plays video games for 8 hours each week.

(f) Determine how many hours of video game playing do you think a student plays whose grade-point average is 2.40 .

A commercial fisherman fishes for haddock, sea bass, and red snapper. He is paid $1.25/lb for haddock,$0.75/lb for sea bass, and $2.00/lb for red snapper. Yesterday he caught 560 lb of fish worth$575. The haddock and red snapper together are worth $320. How many pounds of each fish did he catch?

Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average. "

$$\begin{matrix} \text{Hours of} & \text{Grade-point}\\ \text{Video Games} & \text{Average, $G$}\\ \text{per Week, $h$} & \text{ }\\ \hline \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

Use a graphing utility to draw a scatter diagram.

Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average.

$$\begin{matrix} \text{Hours of} & \text{Grade-point}\\ \text{Video Games} & \text{Average, $G$}\\ \text{per Week, $h$} & \text{ }\\ \hline \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

Interpret the slope.

The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on United Airlines. Compute the mean, median, and mode flight time. 282, 270, 260, 266, 257, 260, 267

The weekly rental cost of a 20-foot recreational vehicle is $129.50 plus$0.15 per mile. What is the rental cost if 860 miles are driven?

The weekly rental cost of a 20-foot recreational vehicle is $129.50 plus$0.15 per mile. Find a linear function that expresses the cost C as a function of miles driven m.

$h(x)=-x^{3}+12x$, Determine whether f is even, odd, or neither.

Solve by elimination.

$$\begin{array}{l}{5 x-3 y=-3} \\ {-5 x+9 y=39}\end{array}$$