Question

Please help, I don't understand this!

Answer 1

9514 1404 393

Answer:

  A: a = 100

  B: b = 2

Step-by-step explanation:

The problem statement tells you that the population of bacteria is 100 at the start of our observation.

  t = 0, f(t) = f(0) = 100

If you remember that a 0 exponent means the value is 1, then you know ...

  f(0) = a·b^0 = a·1 = a

Since f(0) = 100, we know a = 100.

__

An exponent signifies repeated multiplication.

We know the population at t=0 is 100. At t = 1, we are told the population doubles. That means it is multiplied by 2.

 f(1) = 100·b^1 = 100·2

  b^1 = 2 . . . . . . . . . . . . . . . matching parts of these expressions

  b = 2 . . . . . . . . . . . . . because b^1 = b