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

100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND-example-1
User Mirla
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1 Answer

6 votes

Answer:

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.
100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND-example-1
100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND-example-2
User Brad Christie
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8.5k points

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