Question

Research indicates that in a controlled environment, the number of diseased mice will increase linearly each day after one of the mice in the cage is infected with a particular type of disease causing germ. There were 8 diseased mice 4days after the first exposure and 14 diseased mice after 6 days.
(a) Write an equation that will give the number of diseased mice after any given number of days.

Answer 1

this is asking for the equation of a line through the points (4,8) and (6,14)

Answer 2

find the slope
\[m=\frac{14-8}{6-4}=\frac{6}{2}=3\]

Answer 3

then use the point slope formula
\[y-8=3(x-4)\]
\[y-8=3x-12\]
\[y=3x-4\]

Answer 4

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