Question

A 30-gram sample of bacteria has some unknown disease that is killing the bacteria. The amount of bacteria is measured each day and the results are shown in the table. Number of Days (d) 0 1 2 3 4 5 6 Amount of Bacteria in Grams (A) 30 28.5 27.075 25.72 24.44 23.21 22.05 whAT is the decay factor 9f the data

Answer 1

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time
We must find the values of A and b.
For this, we evaluate the following points:
(0, 30):
30 = A * (b) ^ 0
30 = A * 1
30 = A
(1, 28.5):
28.5 = 30 * (b) ^ 1
28.5 = 30 * b
b = 28.5 / 30
b = 0.95
Answer:
the decay factor of the data is:
b = 0.95