Answer:
[tex]y=250(5)^x[/tex]
Step-by-step explanation:
The growth of a population of bacteria can be represented by exponential growth function,
[tex]y=a(1+r)^x[/tex]
where,
y = the population of the bacteria after x hours,
x = the number of hours,
a = initial population of bacteria,
r = rate of growth,
At the beginning the number bacteria was 250 and the population of bacteria quadruples every hour i.e rate of growth is 400% or 4 per hour.
Putting all the values,
[tex]y=250(1+4)^x[/tex]
[tex]\Rightarrow y=250(5)^x[/tex]
