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.

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

How many hours of video game playing do you think a student plays whose grade-point average is 2.40?

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.

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

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.

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

Predict the grade-point average of a student who plays video games for 8 hours each week.

$$3x+2y=4$$

$$2x-3y=-6$$

Use the key features of each function to sketch its graph. y-intercept at (0,4), linear function; positive for values of x such that x > -3; increasing for all values of x.

Why is science considered to be a combination of information and process?

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand. Directrix the line $y=-\frac{1}{2}$ vertex at (0, 0).

Find all the real zeros of the polynomial. Use the Quadratic Formula if necessary. $P(x)=3 x^{4}-5 x^{3}-16 x^{2}+7 x+15$

Is a glide reflection an isometry? Explain.

The function f is one-to-one. Find its inverse and check your answer. Graph f, $f ^{-1}$, and y = x on the same coordinate axes. $f(x)=-4 x$

A university's financial aid office wants to know how much it can expect students to earn from summer employment. This information will be used in setting the level of financial aid. The population contains 3478 students who have completed at least one year of study but have not yet graduated. The university will send a questionnaire to an SRS of 100 of these students, drawn from an alphabetized list.

Find the period, and graph the function. $y=\sec 2\left(x-\frac{\pi}{4}\right)$

An equation of a hyperbola is given. Sketch a graph of the hyperbola. $\frac{x^{2}}{4}-\frac{y^{2}}{16}=1$