Answered: Graph A and Graph B both show the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...

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a and b is in photo and c I'm type it

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

It increased by a factor of

, so in July the number of kilometers driven was

times what it was in January.

It decreased by a factor of

, so in July the number of kilometers driven was only

110

of what it was in January.

It more than doubled.

It increased by about

10%

(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 baseline is at

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

instead of

, so the points are at heights of the same relative size as the actual numbers of kilometers driven. Therefore, Graph B could mislead a person into thinking that the increase in the numbers of kilometers driven between January and July was larger 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 B could mislead a person into thinking that the increase in the numbers 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, which suggests there was a relatively small increase in the numbers of kilometers driven. In Graph B, the points look to be at similar heights, suggesting that there was a dramatic increase in the numbers of kilometers driven. Therefore, Graph A could mislead a person into thinking that the increase in the numbers of kilometers driven between January and July was smaller than it really was.

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