Answer:
D. An exponential function, because exponential functions increase at a nonconstant rate
Step-by-step explanation:
Each month Tai's brother grows more than he grew the previous month.
We can't model his growth by a linear function, because linear functions increase at a constant rate.
The model must be an exponential function.
For example, if the boy's height at Month 0 were 100 units, a model like h = 100(1.1)ⁿ would give the following results.
[tex]\begin{array}{ccc}\textbf{Month} & \textbf{Height} & \textbf{Diff.}\\0 & 100 & \\1 & 110 & 10\\2 & 121 & 11\\3 & 133 & 12\\4 & 146 & 13\\\end{array}[/tex]
An [tex]\boxed{\textbf{ exponential function }}[/tex] is consistent with a monthly change in height that increases each month.