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.

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Thankyou very much satellite73.