Often in a story problem, we are asked "Write an exponential function showing the relationship between y and t." The number of cells (y), depends on the number of hours (t) they have to grow. Starting with 2500, what happens after the first hour and they grow 13%. That would be like a 13% tax on 2500.... 2500 (1.13) = 2825 and the next hour (hour two) 2825(1.13) that is 2500(1.13)(1.13) or 2500(1.13)². The third hour would be 2500(1.13)3 and any t hours would be 2500(1.13)t.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Often in a story problem, we are asked "Write
an exponential function showing the
relationship between yand t."
The number of cells (y), depends on the
number of hours (t) they have to grow.
Starting with 2500, what happens after the
first hour and they grow 13%. That would be
like a 13% tax on 2500... 2500 (1.13) = 2825
and the next hour (hour two) 2825(1.13) that
is 2500(1.13)(1.13) or 2500(1.13)2. The third
hour would be 2500(1.13)3 and any t hours
would be 2500(1.13)ť.
Transcribed Image Text:Often in a story problem, we are asked "Write an exponential function showing the relationship between yand t." The number of cells (y), depends on the number of hours (t) they have to grow. Starting with 2500, what happens after the first hour and they grow 13%. That would be like a 13% tax on 2500... 2500 (1.13) = 2825 and the next hour (hour two) 2825(1.13) that is 2500(1.13)(1.13) or 2500(1.13)2. The third hour would be 2500(1.13)3 and any t hours would be 2500(1.13)ť.
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