# Compare growth of exponentials & polynomials

Practice analyzing the end behavior of two functions that model similar real-world relationship, where one function is exponential and the other is polynomial.

### Problem

Bison and elk in Yellowstone National Park respond naturally to sunshine each day. The more hours of continuous sunshine there are, the more bison and elk are seen grazing in the park.
The cumulative number of bison or elk seen grazing as a function of time since sunrise (in hours) is modeled by the following functions, which are defined on the positive integers:
spaceBison: b, left parenthesis, t, right parenthesis, equals, 200, plus, 110, t.
spaceElk: e, left parenthesis, t, right parenthesis, equals, 3, start superscript, t, end superscript.
A few outputs of the functions are given in the table below.
Were there more bison or more elk seen grazing in 5 hours since sunrise?
Please choose from one of the following options.
Were there more bison or more elk seen grazing in 7 hours since sunrise?
Please choose from one of the following options.
Will the species seen grazing more in the 7th hour of continuous sunshine continue to be seen grazing more than the other species after 7 hours?
Please choose from one of the following options.
te, left parenthesis, t, right parenthesisb, left parenthesis, t, right parenthesis
13310
29420
327530
481640