Question

S(t)=45(3) ^t+1 Write an equivalent function of the form S(t)=ab t

Answer 1

Starting with the function:

S(t) = 45(3)^t + 1

We can rewrite it as:

S(t) = 45(3^t)(3^1)

Now, let a = 45 and b = 3, so we have:

S(t) = ab(3^t)(3^1)

Simplifying this expression, we get:

S(t) = ab(3^(t+1))

Therefore, an equivalent function of the form S(t) = abt is:

S(t) = 45(3^(t+1))

Explanation: