The relative growth rate for a certain type of fungi is 60% per hour. a small culture has formed and in just 6 hours the count shows to be 20,273 fungi in the culture. what is the initial number of fungi in the culture?

1208 =a

Step-by-step explanation:

The equation for growth is

y= ab^x

where a is the initial value and

b= 1+growth rate

b= 1+.60

b= 1.6

We know that in 6 hours   (x=6)   there are 20274 fungi  (y= 20273)

Substitute into the equation

20273 = a (1.6)^6

Divide by  (1.6)^6 on each side

20273 / (1.6)^6 =  a (1.6)^6/ 1.6^6

20273 / (1.6)^6 =  a

1208.36 = a

Rounding to a whole number

a = 1208

28

step-by-step explanation:

because that's the answer