Answered: Graph A and Graph B both show the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.3: Systems Of Nonlinear Equations And Inequalities: Two Variables

Problem 4SE: If you graph a revenue and cost function, explain how to determine in what regions there is profit.

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Question

(a)Explain how the daily closing price changed between March 1 and March 10.

It fluctuated widely during that period. Overall, it decreased by

from March 1 to March 10.

It fluctuated widely during that period. Overall, it more than doubled from March 1 to March 10.

It fluctuated widely during that period. Some days it doubled and other days it halved. But overall, there was no significant increase or decrease.

It fluctuated within a small range of about

10%

of the starting value. Overall, there was no significant increase or decrease.

(b)Approximate to the nearest whole number (in dollars) the difference between the maximum daily closing price and the minimum daily closing price.

dollars

(c)Which of the two graphs is more likely to be misleading? Why? (Choose the best answer.)

In Graph A, the heights of the bars look very different, which suggests there was a relatively small fluctuation in the closing prices. In Graph B, the heights of the bars are visually similar, suggesting that there was a dramatic increase in the closing prices. Therefore, Graph B could mislead a person into thinking that the day-to-day fluctuation in the closing prices between March 1 and March 10 was larger than it really was.

In Graph A, the heights of the bars are visually similar, suggesting that there was a dramatic fluctuation in the closing prices. In Graph B, the heights of the bars look very different, which suggests there was a relatively small increase in the closing prices. Therefore, Graph B could mislead a person into thinking that the day-to-day fluctuation in the closing prices between March 1 and March 10 was smaller than it really was.

In Graph A, the differences between the closing prices are exaggerated. In Graph B, the heights of the bars have the same relative size as the actual closing prices. Therefore, Graph A could mislead a person into thinking that the day-to-day fluctuation in the closing prices between March 1 and March 10 was larger than it really was.

In Graph A, the baseline is at

instead of

, so the heights of the bars have the same relative size as the actual closing prices. In Graph B, the baseline is at

, which exaggerates the differences between the closing prices. Therefore, Graph A could mislead a person into thinking that the day-to-day fluctuation in the closing prices between March 1 and March 10 was larger than it really was.

Graph A and Graph B both show the closing price (in dollars) of the stock for ABC Corp. for eight consecutive business days from March 1 through March 10.
(Both graphs show exactly the same data.)
Graph A
Closing price
(in dollars)
Graph B
Closing price
(in dollars)
100
98.
96.
94-
92.
Mar 1
Mar 2
Mar 3
Mar 4
Mar 5
Mar 8
Mar 9
Mar 10
100
90
80
70
60
50.
40
30
20
10
Mar 1
Mar 2
Mar 3
Mar 4
Mar 5
Mar 8
Mar 9
Mar 10

(a) Explain how the daily closing price changed between March 1 and March 10.
1
It fluctuated widely during that period. Overall, it decreased by
from March 1 to March 10.
2
It fluctuated widely during that period. Overall, it more than doubled from March 1 to March 10.
It fluctuated widely during that period. Some days it doubled and other days it halved. But overall, there was no
significant increase or decrease.
It fluctuated within a small range of about 10% of the starting value. Overall, there was no significant increase or
decrease.
(b) Approximate to the nearest whole number (in dollars) the difference between the maximum daily closing price and the
minimum daily closing price.
dollars

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