Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

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3 years ago

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Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

find the number of bacteria after d days. Isabella starts with a population of 1 bacterium that increases 20% every day for a number of days, d. She writes the expression (1 + 0.2)d to find the number of bacteria after d days. Use the drop-down menus to explain what each part of Marco's and Isabella's expressions mean.

Mathematics

2 answers:

LenKa [72] · Answer 1 · 2021-11-06T05:14:27+03:00

LenKa [72]3 years ago

6 0

Answer:

Step-by-step explanation:

riadik2000 [5.3K] · Answer 2 · 2021-11-06T02:45:48+03:00

Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be $10(2^{d})$ since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is $2^{1}=2$

Day 2 is $2^{2}=4$

Day 3 is $2^{3}=8$

Day 4 is $2^{4}=16$

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.