Question

If represents the number of bacteria in a culture at time t, how many will there be at time

Answer 1

Population of bacteria at time
`t = 6` is
`2441`

Explanation:

The complete question is

If
`y = 10 (2.5)^t`represents the number of bacteria in a culture at time t, how many will there be at time
`t = 6`

Solution

Given

The population of bacteria after time t is equal to
`y = 10 (2.5)^t`

Population when at time
`t = 6`

We will substitute the value of time in above equation.

`y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441`