Question

Find the exponential function that satisfies the given conditions.
Initial value = 37, increasing at a rate of 14% per year

f(t) = 37 ⋅ 14t

f(t) = 14 ⋅ 1.14t

f(t) = 37 ⋅ 0.14t

f(t) = 37 ⋅ 1.14t

Answer 1

An increase of 14% means you're multiplying by 114%.
Now convert that percentages to a decimal (by dividing by 100).

Answer 2

so it would be d?

Answer 3

Yes.