Answer:
160
Step-by-step explanation:
NEXT = 2 • NOW
Implies
a(n+1) = 2 × a(n)
a(1) = 10
a(2) = 20
a(3) = 40
a(4) = 80
a(5) = 160
160 bacteria
We can create an exponential function of the form: , 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:
We want the number of bacteria present after the fifth hour, or when x = 5, so we have:
There were 160 bacteria.
The roots of the quadratic equation are
.
Here the given quadratic equation is . Here .
The roots are