Answer:
The missing value is 128
Step-by-step explanation:
we know that
The equation of the exponential function is of the form
[tex]f(x)=a(b^{x})[/tex]
where
a is the initial value (value of the function when the value of x is equal to zero)
b is the base
r is the rate
b=(1+r)
In this problem , looking at the table, we have that the number of bacteria is doubled every second
so
[tex]r=100\%=100/100=1\\b=1+r=1+1=2\\a=8[/tex]
substitute in the formula
[tex]f(x)=8(2^{x})[/tex]
where
f(x) is the number of bacteria
x is the time in seconds
For x=4 sec
substitute
[tex]f(4)=8(2^{4})[/tex]
[tex]f(4)=128\ bacteria[/tex]
