Question

4x CD

Over the past several years, the number of biology majors at a certain university has increased approximately linearly. In 2014,
this university had 34 biology majors. In 2016, this university had 41 biology majors.
a) Use this information to create a linear equation that models the number of biology majors, N, at this university tyears since
2010.

Answer 1

N = (7/2)t +20

Explanation:

In terms of years since 2010, the two given points are ...

(t, N) = (4, 34) and (6, 41)

Using the 2-point form of the equation for a line, we get ...

N = (n2 -n1)/(t2 -t1)(t -t1) +n1

N = (41 -34)/(6 -4)(t -6) +34 . . . . filling in the given points

N = 7/2(t -4) +34 . . . . simplifying a bit

N = (7/2)t +20 . . . your linear model