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
