Question

Exponential Function:

Answer 1

same as above me

Step-by-step explanation:

Answer 2

Answer:

See below

Step-by-step explanation:

Given

• Initial population at 8:00 AM
• 3000000
• Growth rate = 10% = 1.1 times per 20 min

Solution

1. Table

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

• 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

2. Population at 10:00

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

3. Function to reflect the population growth

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

4. Population after 5 hours

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