Question

Create an exponential function that models this situation based on the time in secons in the video.

B(t)= __​

Answer 1

2(2)^t

Explanation:

PLATO

Answer 2

• B(t) = 2*
  `2^(t)`

Explanation:

You have all correct choices.

We can use the given values and work out the equation:

• B(t) =
  `ab^(t)`
• B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2
• B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2

The function for this situation is:

• B(t) = 2*
  `2^(t)`