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McGraw-Hill Math Grade 7 Answer Key Lesson 14.2 Graphing Relationships
Exercises
SOLVE
Vicki can read 2 pages in 3 minutes. Bruce can read 4 pages in 3 minutes.
Question 1.
Complete the chart below to show this relationship.
Answer:
Pages read by Vicki in 1 minute:
3 minutes = 2 pages
1 minute = y pages
3 x y = 2 x 1
3y = 2
Divide both sides of the equation by 3.
3y/3 = 2/3
y = 2/3
Pages read by Vicki in 6 minute:
3 minutes = 2 pages
6 minute = z pages
3 x z = 6 x 2
3z = 12
Divide both sides of the equation by 3.
3z/3 = 12/3
z = 4
Pages read by Bruce in 1 minute:
3 minutes = 4 pages
1 minute = y pages
3 x y = 4 x 1
Divide both sides of the equation by 3.
3y/3 = 4/3
y = 4/3
Pages read by Bruce in 6 minute:
3 minutes = 4 pages
6 minute = z pages
3 x z = 6 x 4
3z = 24
Divide both sides of the equation by 3.
3z/3 = 24/3
z = 8
Question 2.
Graph the relationship on the grid. Label each axis. Be sure to use different colors or styles of line so that you can tell the difference. Include a legend to describe which hue is for which person.
Answer:
The time is represented in x-axis and pages read by Vicki and Bruce are represented in y-axis as we can observe in the above image.
Question 3.
Which of the following correctly describes the relationship?
(a) Vicki reads twice as fast as Bruce.
(b) Bruce reads twice as fast as Vicki.
(c) Vicki’s reading rate is one-third of Bruce’s.
(d) Bruce reads half as fast as Vicki.
Answer:
Option B, Bruce reads twice as fast as Vicki correctly describes the relationship.
Question 4.
A store sells 5 pounds of potatoes for $1.00. How much would 1 pound cost? Construct a graph for potato price on the grid below. Label each axis.
Answer:
A store sells 5 pounds of potatoes for $1.00.
5 pounds = $1.00
1 pound = s $
5 x s= $1 x 1
5s = $1
Divide both sides of the equation by 5.
s = $1/5
The cost of 1 pound potatoes are $0.2.
In the above graph we can see price of potatoes are represented in y axis and pounds are represented in x axis.