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mote1985 [20]
3 years ago
6

Exponential Function:

Mathematics
2 answers:
Radda [10]3 years ago
5 0

same as above me

Step-by-step explanation:

antoniya [11.8K]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

<h3>Given</h3>
  • Initial population at 8:00 AM
  • 3000000
  • Growth rate = 10% = 1.1 times per 20 min
<h3>Solution</h3>

<u>1. Table</u>

<em>Note. I am not sure what are the last 3 rows. Just added next 3 terms.</em>

  • 8:00  ≡  G(0)   ≡   3000000              ≡  3000000
  • 8:20  ≡  G(1)    ≡   3000000 *1.1        ≡  3300000
  • 8:40  ≡  G(2)   ≡   3000000 *1.1^2    ≡  3630000
  • 9:00  ≡  G(3)   ≡   3000000 *1.1^3    ≡  3993000
  • 9:20  ≡  G(4)   ≡   3000000 *1.1^4    ≡  4392300

<u>2. Population at 10:00</u>

  • Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 min
  • Population = 3000000*1.1^6 = 5314683

<u>3. Function to reflect the population growth</u>

  • G(x) = 3000000*1.1^x
  • G(x) - is dependent variable, population of bacteria
  • x - is independent variable, time increment of 20 min

<u>4. Population after 5 hours</u>

  • 5 hours = 5*3*20 min = 15*20 min
  • G(15) = 3000000*1.1^15 ≈ 12531745

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