Question

The table shows a bacterial population y after x days.

Answer 1

Answer:

y = 5e^1.9459101t

y = 84035

Step-by-step explanation:

Given the data:

X _____ Y

0 _____ 5

1 _____ 35

2 ____245

3 ____1715

4 __ 12005

Exponential function for the distribution :

y = initial(1 + rate)^t

y = Pe^rt

35 = 5e^r

35/5 = e^r

7 = e^r

Take In of both sides

1.9459101 = r

y = Pe^rt

y = 5e^1.9459101t

Population after 5 days :

y = 5e^1.9459101 * 5

y = 5e^9.7295505

y = 5 * 16806.995

y =84034.979

y = 84035