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.
2 answers:
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 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
Day 2 is
Day 3 is
Day 4 is
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.
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