Question

The relative growth rate for a certain type of fungi is 70% per hour. A small culture has formed and in just 6 hours the count shows to be 54,273 fungi in the culture. What is the initial number of fungi in the culture?

Answer 1

Answer:  The initial number of fungi is about 2248.

Step-by-step explanation:

Let a be the initial number of fungi in the  culture,

Thus, if the The relative growth rate for a certain type of fungi is 70% per hour,

Then the number of fungi after 6 hours,

$A = a(1+\frac{70}{100})^6$

According to the question,

A = 54,273

⇒ $a(1+\frac{70}{100})^6=54,273$

⇒ $a(1+0.7)^6=54273$

⇒ $24.137569 a=54273$

⇒ $a=2248.48658\approx 2248$