Question

The graph is of a function in the form p(t) = a*b^t. What is the function?

Answer 1

Answer:

  p(t) = 5*2^t

Step-by-step explanation:

We can solve for 'a' and 'b' using the point coordinates shown on the graph.

Setup

Substituting for (t, p(t)), the two equations we can make from the given points are ...

  p(t) = a*b^t

  5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)

  10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)

Solution

The first equation tells you ...

  5 = a

The second equation tells you ...

  10 = 5*b

  2 = b

Equation

The function is ...

  p(t) = a*b^t

  p(t) = 5*2^t