a) Since the dosage varies according to the weight of the dog, the variables are as follows:
x is the weigh of the dog in pounds and y is the dosage of Tylenol in mg.
b) slope of data = (y2-y1) / (x2-x1), i.e. the ratio of changes in values of x and y.
= (130 - 40) / (20 - 5) = 6
Therefore, slope of data =m =6
c) The point slope form equation is as follows: (y - y1) = m (x - x1), for any point (x1, y1)
So, (y - 40 ) = 6 (x - 5)
d) if x = 180 pounds, then according to the equation,
(y - 40) = 6 (180 - 5)
so, y - 40 = 1050
and y = 1050 + 40 = 1090
So, the Great Dane should be given 1090 mg (or 1.09 g ) of Tylenol