Answer:
Population of bacteria at time [tex]t = 6[/tex] is [tex]2441[/tex]
Step-by-step explanation:
The complete question is
If [tex]y = 10 (2.5)^t[/tex]represents the number of bacteria in a culture at time t, how many will there be at time [tex]t = 6[/tex]
Solution
Given
The population of bacteria after time t is equal to [tex]y = 10 (2.5)^t[/tex]
Population when at time [tex]t = 6[/tex]
We will substitute the value of time in above equation.
[tex]y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441[/tex]
