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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 15E

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Related questions

Question

(a)Give a rough estimate of the change in monthly distance driven from January to July. (Choose the best answer.)

It decreased by a factor of

, so in July the number of kilometers driven was only

110

of what it was in January.

It increased by a factor of

, so in July the number of kilometers driven was

times what it was in January.

It decreased by about

10%

It decreased by

(b)Approximate to the nearest whole number (in thousands of kilometers) the change in the monthly distance driven from January to July.

thousandkilometers

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

In Graph A, the points look to be at similar heights, which suggests there was a relatively small decrease in the number of kilometers driven. In Graph B, the points look to be at very different heights, suggesting that there was a dramatic decrease in the number of kilometers driven. Therefore, Graph B could mislead a person into thinking that the decrease in the number of kilometers driven between January and July was larger than it really was.

In Graph A, the points look to be at very different heights, suggesting that there was a dramatic decrease in the number of kilometers driven. In Graph B, the points look to be at similar heights, which suggests there was a relatively small decrease in the number of kilometers driven. Therefore, Graph B could mislead a person into thinking that the decrease in the number of kilometers driven between January and July was smaller than it really was.

In Graph A, the points are at heights of the same relative size as the actual numbers of kilometers driven. In Graph B, the differences between the numbers of kilometers driven are exaggerated. Therefore, Graph A could mislead a person into thinking that the decrease in the number of kilometers driven between January and July was smaller than it really was.

In Graph A, the baseline is at

instead of

, which exaggerates the differences between the numbers of kilometers driven. In Graph B, the baseline is at

, so the points are at heights of the same relative size as the actual numbers of kilometers driven. Therefore, Graph A could mislead a person into thinking that the decrease in the number of kilometers driven between January and July was larger than it really was.