Asked by hfhfh
Food poisoning occurs when bacteria like Salmonella and Listeria grow on food. These microorganisms grow at an exponential rate. When an initial population of 100 bacteria are left at mc027-1.jpg, they will grow at a rate of mc027-2.jpg. Which graph could be used to calculate the number of bacteria after a certain number of hours?
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the images you referenced (mc027-1.jpg, mc027-2.jpg). Could you either upload them or tell me the growth rate shown in the second image?
In the meantime, here’s the general answer you’ll want:
- Use an exponential-growth graph given by P(t) = 100·a^t (discrete per-hour growth) or P(t) = 100·e^{kt} (continuous growth), where a = 1 + r (r = hourly percent growth as a decimal) or k is the continuous growth rate.
- The correct graph is the one that starts at 100 when t = 0 and rises exponentially (curving upward and getting steeper as t increases), not a straight line.
If you give the numeric growth rate (or upload the images), I’ll write the exact formula and point to which of your graphs matches.
In the meantime, here’s the general answer you’ll want:
- Use an exponential-growth graph given by P(t) = 100·a^t (discrete per-hour growth) or P(t) = 100·e^{kt} (continuous growth), where a = 1 + r (r = hourly percent growth as a decimal) or k is the continuous growth rate.
- The correct graph is the one that starts at 100 when t = 0 and rises exponentially (curving upward and getting steeper as t increases), not a straight line.
If you give the numeric growth rate (or upload the images), I’ll write the exact formula and point to which of your graphs matches.
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