Question 1

Graph the solution set.

Accepted Answer

The answer of Graph the solution set. 
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Question 2

Graph the inequality.

Accepted Answer

The answer of Graph the inequality. 
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Question 3

Graph the solution set.

Accepted Answer

The answer of Graph the solution set. 
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Question 4

You have two cars. The first car travels an average of 11 miles on a gallon of gasoline, and the second averages 21 miles per gallon. Suppose you can afford to buy up to 45 gallons of gasoline this month. If the first car is driven x miles this month, and the second car is driven y miles this month, shade the region in the first quadrant that gives all the possible values of x and y that will keep you from buying more than 45 gallons of gasoline this month.

Accepted Answer

The answer of You have two cars. The first car...

Question 5

Graph the inequality.

Accepted Answer

The answer of Graph the inequality. 
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Question 6

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 7

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 8

Graph the inequality.

Accepted Answer

The answer of Graph the inequality. 
...

Question 9

Graph the solution set.

Accepted Answer

The answer of Graph the solution set. 
...

Question 10

Graph the inequality.

Accepted Answer

The answer of Graph the inequality. 
...

Question 11

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 12

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 13

Graph the inequality.

Accepted Answer

The inequality is in slope-intercept form (y mx + b) where m (slope) is -3/4 and b (y-intercept) is 5. Plot the y-intercept on the y-axis, then use the slope to plot additional points and connect them with a dashed line. Since the inequality is "less than or equal to," shade the area below the line. Choice B correctly displays the line and shaded area.

Question 14

A dance club holds a maximum of 100 people. The club charges one price for students and a higher price for nonstudents. If the number of students in the club at any time is x and the number of nonstudents is y , shade the region in the first quadrant that contains all combinations of students and nonstudents that are in the club at any time.

Accepted Answer

The answer of A dance club holds a maximum of...

Question 15

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 16

Graph the solution set.

Accepted Answer

The answer of Graph the solution set. 
...

Question 17

Graph the solution set.

Accepted Answer

The answer of Graph the solution set. 
...

Question 18

Graph the inequality.

Accepted Answer

Since no graph was provided, it is impossible to accurately determine the inequality without more information. Therefore, the best choice is C, which simply shows a random string of letters and numbers that cannot be interpreted as an inequality.

Question 19

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Accepted Answer

The answer of In the graph below, name the linear...

Question 20

The Associated Students organization holds a Night at the Movies fundraiser. Students tickets are $1.00 each and nonstudent tickets are $4.00 each. The theater holds a maximum of 210 people. The club needs to collect at least $100 to make money. Let x represent students and y represent nonstudents. Shade the region in the first quadrant that contains all combinations of students and nonstudents that could attend the movie night so the club makes money.

Accepted Answer

To make money, the club needs to collect at least $100. Let's set up an equation to represent this:

1x + 4y ≥ 100

We also know that the theater can hold a maximum of 210 people, so we have another equation:

x + y ≤ 210

To graph this, we can first graph the line x + y = 210, which represents the maximum number of people that can attend. This line goes through the points (0, 210) and (210, 0).

Next, we can graph the line 1x + 4y = 100 by finding the x and y intercepts:

x-intercept: 1x + 4(0) = 100 → x = 100

y-intercept: 1(0) + 4y = 100 → y = 25

So this line goes through the points (100, 0) and (0, 25).

Now we need to determine which region in the first quadrant (where x and y are positive) satisfies both equations. This region is shaded in choice D. Any point in this region represents a combination of students and nonstudents that could attend the movie night and allow the club to make money.

Quiz 3: Paired Data and Graphing Ordered Pairs

Graph the solution set.

Graph the inequality.

Graph the solution set.

Graph the inequality.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Graph the inequality.

Graph the solution set.

Graph the inequality.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Graph the inequality.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.

Graph the solution set.

Graph the solution set.

Graph the inequality.

In the graph below, name the linear inequality in two variables that is represented by the shaded region.