The graph of an cxponential relationship is shown in the following applet. It re

Question

The graph of an cxponential relationship is shown in the following applet. It represents the mass of bactcria (in micrograms) in an expcriment based on the number of hours since noon today e X on the horizontal axis and see two outputs represented by the lengths of two vertical bars Note that he two outputs are separeted by a change in input of that is 2 1. Notice that the change in out You can vary the input value by sliding the pur is represented by the green vertical arrow. t mass of bacteria P (0.00,10.00) Pf=6.00, 12.60) 20 hours sincc noon Drag the purple X on the horizontal axis to vary the initial number of hours since noon. a The mass of bacteria at any moment is bow many times as large as the mass of bacteria one hour earlier? 1.26 times as largc Preview b. The mass of bacteria at any moment is what percent of the mass of bacteria one hour earlier? % Preview c. The change in the mass of bacteria over any one hour period is how many times as large as the mass of bacteria at the beginning of that one-bour time interval? times as large Preview d The change in the mass of bacteria over any one hour period is what percent of the mass of bacteria at the beginning of that one-hour time interval? x% Preview e. Therefore, we say that the hourly percent change in the bacteria mass is #36 Preview Submit

Explanation / Answer

When t = 0, m = 10
When t = 1, m = 12.6

So, 12.6 is what percent of 10?
126%

So,
126% ---> ANS

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c)
At the beginning it was 10
Over the 1 hr period, it changed to 12.6
The change is 12.6-10 = 2.6
And 2.6 is how many times of 10?

10x = 2.6

x = 2.6/10

x = 0.26 ---> ANS

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d)
26% --> ANS

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