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Cloud [144]
3 years ago
9

Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h. She writes the expre

ssion 1,000(3h) to find the number of amoeba after h hours. Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours, h. He writes the expression (1+0.3)h to find the number of amoeba after h hours. Use the drop-down menus to explain what each part of Madison’s and Tyler’s expressions mean.

Mathematics
2 answers:
gtnhenbr [62]3 years ago
5 0

Answer: The meaning of each term of the  Madison’s and Tyler’s expressions is mentioned below.

Step-by-step explanation:

Since, when Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h.

That is, after 1 hour total number of amoebas = 3×1000 = 3^1\times 1000

After 2 hour,  total number of amoebas = 3×3000=3^2\times 100

After 3 hour, total number of amoebas = 3×9000= 3^3\times 1000

similarly, after h hours, total number of amoebas,

f(h) = 3^h\times 1000

where, 1000 is the initial population of amoeba 3 is the growth factor of population and f(h) is the population of amoeba after h hours.

Since, when Tyler starts with a population of 1 amoeba that  increases 30% in size every hour for a number of hours.

That is, after 1 hour total number of amoebas = (1+0.3)^1

After 2 hour,  total number of amoebas =  (1+0.3)^2

After 3 hour, total number of amoebas =  (1+0.3)^3

Similarly, after h hours, total number of amoebas,

f(h) =(1+0.3)^h

Where,  1 is the initial population of amoeba, 0.3 is the growth rate and 1.3 is the growth factor.


Anestetic [448]3 years ago
5 0

The answer is down there on the picture. The other answer isn't totalIy right. I just did it. Please mark Brainliest!



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