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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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
Transcribed Image Text:A scientist discovered a new strain of bacteria. The bacteria culture initially contained 5000 bacteria and the bacteria are doubling every hour.
Which exponential function illustrates this situation?
y = 5000(x)?
a
O b
y = 5000 + 2*
y = 5000(2)*
y = 5000 1og, (x)
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- An adult takes 600 milligrams (mg) of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by one-third. Write the function that models the exponential change between the number of hours, t, and the number of milligrams of ibuprofen remaining in the person's system, m(t).arrow_forwardA bacteria sample (in millions of bacteria) after X days is given by the exponential function P(x)=3(1.25)x How many bacteria are in the sample after 10 days? How long will it take the sample to reach 20 million?arrow_forwardlog4x=log45+3arrow_forward
- for example: f(x)=3*2^x write the thing and look at the picture asap tyarrow_forwardA survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.6 million Americans will be at least 65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a)-(d) below. Click the icon to view the bar graph. 最重 ExpReg y = a-b^x a = 3.363809536 b = 1.023357735 a. Explain why an exponential function was used to model the population data. A. An exponential function was used because the data in the bar graph is increasing more and more rapidly. OB. An exponential function was used because population is always modeled using exponential functions. OC. An exponential function was used because there are too many data points to use a linear function. OD. An exponential function was used because…arrow_forwardPlease explain why each exponential function is growth or decay.arrow_forward
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