Chapter 1, Problem 40CR

Solution

(a)

To make the table of ordered pairs in which x-coordinate represents the number of people and y-coordinate represents the cost for 4,8,12,16 people.

x(Number of People)	y(Cost ,$)	(x,y)
4	$4\times 2=8$	(4,8)
8	$8\times 2=16$	(8,16)
12	$12\times 2=24$	(12,24)
16	$16\times 2=32$	(16,32)

GIVEN:

It cost $2 per person to ride the Ferris wheel.

Concept Used:

In rectangular coordinate system any point be in the form of $\left(x,y\right)$ .

• In Quadrant I, both the coordinates of ordered pair are positive, that is, $\left(+,+\right)$ .
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$ .
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$ .
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$ .

Explanation:

To make the table of ordered pairs, x-coordinate represents the number of people, and the y-coordinate represents the cost of 4,8,12,16 people and the cost is $2 per person.

The table is:

x(Number of People)	y(Cost ,$)	(x,y)
4	$4\times 2=8$	(4,8)
8	$8\times 2=16$	(8,16)
12	$12\times 2=24$	(12,24)
16	$16\times 2=32$	(16,32)

(b)

To plot the graph of ordered pairs.

  

GIVEN:

It cost $2 per person to ride the Ferris wheel.

Concept Used:

In rectangular coordinate system any point be in the form of $\left(x,y\right)$ .

• In Quadrant I, both the coordinates of ordered pair are positive, that is, $\left(+,+\right)$ .
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$ .
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$ .
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$ .

Explanation: In order to plot the point $\left(4,8\right)$ , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 4 units to the right starting from origin and then move 8 units up.

In order to plot the point $\left(8,16\right)$ , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 8 units to the right starting from origin and then move 16 units up.

In order to plot the point $\left(12,24\right)$ , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 12 units to the right starting from origin and then move 24 units up.

In order to plot the point $\left(16,32\right)$ , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 16 units to the right starting from origin and then move 32 units up

The graph of the point is shown below: