Question

100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND NOT ANSWER THE QUESTION. Mathematics

Answer 1

1. (4, 9), (6, 3), (1, 3), (8, 7), (8, 9). See attachment 1 for the graph.

2A. (1, 2), (2, 4), (3, 6), (4, 8). See attachment 2 for the graph.

2B. Derek makes 10 bracelets in 5 hours.

Explanation:

Question 1

An ordered pair is a pair of two numbers written in a specific order (x, y), representing the coordinates of a point in a two-dimensional plane.

To write the ordered pairs of each point in the given table, take the x-value from the first column and the y-value from the second column from each row, and write them as an ordered pair (x, y) in the third column:

`\begin{array}c\cline{1-4}&\textsf{x-coordinate}&\textsf{y-coordinate}&\sf Ordered\\&&&\sf Pair\;(x,y)\\\cline{1-4}\sf A&4&9&(4,9)\\\cline{1-4}\sf B&6&3&(6,3)\\\cline{1-4}\sf C&1&3&(1,3)\\\cline{1-4}\sf D&8&7&(8,7)\\\cline{1-4}\sf E&8&9&(8,9)\\\cline{1-4}\end{array}`

To plot each ordered pair on a coordinate plane, locate the x-value of each point along the x-axis, and then move vertically until you reach the the y-value of the point. Mark the point with a dot and add the corresponding label. (See the first attachment for the completed graph).

`\hrulefill`

Question 2

Part A

We are told that Derek can make 2 bracelets in 1 hour. Therefore, his rate is 2 bracelets per hour. So, he can make 4 bracelets in 2 hours, 6 bracelets in 3 hours, and 8 bracelets in 4 hours. Add this information to the given table:

`\begin{array}c\cline{1-3} \textsf{Time in hours}&\textsf{Total Number of}&\sf Ordered\\\textsf{(x-coordinate)}&\sf Bracelets&\sf Pair\;(x,y)\\&\textsf{(y-coordinate)}&\\\cline{1-3}1&2&(1,2)\\\cline{1-3}2&4&(2,4)\\\cline{1-3}3&6&(3,6)\\\cline{1-3}4&8&(4,8)\\\cline{1-3}\end{array}`

Plot the ordered pairs on the coordinate plane and join them with a line. (See the second attachment for the completed graph).

Part B

The point (5, 10) represents the ordered pair (x, y) where x is the time in hours and y is the total number of bracelets Derek makes. So, the meaning of the point (5, 10) is that:

• Derek makes 10 bracelets in 5 hours.