A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will be in 5 hours,1 day, and 1 week

Solution:

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

The increasing function is given as:

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

Determine how many will be in 5 hours

Substitute t = 5

y = 189

Thus, there are 189 bacteria in 5 hours

Determine how many will be in 1 day ?

1 day = 24 hours

Substitute t = 24

Thus, there are 13382588 bacteria in 1 day

Determine how many will be in 1 week

1 week = 168

Substitute t = 168

Thus there are bacteria in 1 week

the function makes a strait line horizontally with no x intercept but a y intercept at 9.