Answered: (a) Give a rough estimate of the change…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 6SC

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Question

(a)Give a rough estimate of the change in yearly carbon dioxide emission from 2016 to 2023. (Choose the best answer.)

It increased by about

10%

It more than doubled.

It decreased by a factor of

, so in 2023 the yearly carbon dioxide emission was only

110

of what it was in 2016.

It increased by a factor of

, so in 2023 the yearly carbon dioxide emission was

times what it was in 2016.

(b)Approximate to the nearest whole number (in thousands of metric tons) the change in the yearly carbon dioxide emission from 2016 to 2023.

thousandmetrictons

(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 are visually similar, which suggests there was a relatively small increase in the yearly carbon dioxide emission. In Graph B, the heights of the bars look very different, suggesting that there was a dramatic increase in the yearly carbon dioxide emission. Therefore, Graph A could mislead a person into thinking that the increase in the yearly carbon dioxide emission between 2016 and 2023 was smaller than it really was.

In Graph A, the heights of the bars look very different, suggesting that there was a dramatic increase in the yearly carbon dioxide emission. In Graph B, the heights of the bars are visually similar, which suggests there was a relatively small increase in the yearly carbon dioxide emission. Therefore, Graph A could mislead a person into thinking that the increase in the yearly carbon dioxide emission between 2016 and 2023 was larger than it really was.

In Graph A, the baseline is at

, so the heights of the bars have the same relative size as the actual levels of carbon dioxide emission. In Graph B, the baseline is at

instead of

, which exaggerates the differences between the levels of carbon dioxide emission. Therefore, Graph B could mislead a person into thinking that the increase in the yearly carbon dioxide emission between 2016 and 2023 was larger than it really was.

In Graph A, the differences between the levels of carbon dioxide emission are exaggerated. In Graph B, the heights of the bars have the same relative size as the actual levels of carbon dioxide emission. Therefore, Graph B could mislead a person into thinking that the increase in the yearly carbon dioxide emission between 2016 and 2023 was smaller than it really was.