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.

Respuesta :

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