The common water hyacinth is an invasive species outside of its native range in the Amazon basin. The plant grows rapidly on the water's surface, blocking sunlight and oxygen from organisms living in the water. This function models the diameter of a mat of water hyacinths, in meters, after t days:

Question

The common water hyacinth is an invasive species outside of its native range in the Amazon basin. The plant grows rapidly on the water's surface, blocking sunlight and oxygen from organisms living in the water. This function models the diameter of a mat of water hyacinths, in meters, after t days:
D(t)=a(b)t, where a and b are constants.
This table shows two values of the function:
t	D(t)
1	4.2
2	4.41
Find an expression for D(t). Write your answer in the form D(t)=a(b)^t, where a and b are integers or decimals. Do not round.
D(t)=

GPT 3.5 · Answer

D(t) = 4.2(1.05)^t