The following table represents the total dosage of tylenol you should give your dog based on their weight. weight of dog in pounds 5 20 75 dosage of tylenol in mg 40 130 460 use the table to answer all the questions below. a) define your variables. what should be your x and what should be your y? b) find the slope of the data. c) use the slope and 1 of the points from the table to create an equation in point-slope form. d) use your equation to predict how much tylenol you should give your great dane who weighs 180 pounds.

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