Answer:
160 bacteria
Step-by-step explanation:
We can create an exponential function of the form: [tex]y=ab^{x-1}[/tex], where a is the initial value, b is the rate, and x is the time.
Here, a = 10 and b = 2, so our equation is:
[tex]y=ab^{x-1}[/tex]
[tex]y=10*2^{x-1}[/tex]
We want the number of bacteria present after the fifth hour, or when x = 5, so we have:
[tex]y=10*2^{x-1}[/tex]
[tex]y=10*2^{5-1}=10*2^{4}=10*16=160[/tex]
There were 160 bacteria.
