From the data printed in the following table from the Minneapolis Star Tribune, 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.

(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.

Dog Age 1 2 3 5 7 9 11 13 15 Human Age 16 24 28 36 44 52 60 68 76