Dog’s Human Age From the data printed in the following
Chapter 4, Problem 75A(choose chapter or problem)
Problem 75A
Dog’s Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dog’s age when compared to a human’s age can be modeled using either a linear formula or a quadratic formula as follows:
y1 = 4.13x + 14.63
y2 = −0.033x2 + 4.647x + 13.347,
where y1 and y2 represent a dog’s human age for each formula and x represents a dog’s actual age. Source: Mathematics Teacher.
Dog Age |
Human Age |
1 |
16 |
2 |
24 |
3 |
28 |
5 |
36 |
7 |
44 |
9 |
52 |
11 |
60 |
13 |
68 |
15 |
76 |
a. Find y1 and y2 when x =5.
b. Find dy1/dx and dy2/dx when x =5 and interpret your answers.
c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings.
d. Of the three formulas, which do you prefer?
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