Answer:
Option A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life
Step-by-step explanation:
Let
t ----> the number of years
w ---> is the weight in kilograms of the horse
we know that
The equation of a line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
[tex]w(t)=30+170t[/tex]
where
The slope or unit rate is equal to
[tex]m=170\ \frac{kg}{year}[/tex] ---> (for the first 3 years of a horse's life)
The y-intercept is equal to
[tex]b=30\ kg[/tex] ---> value of w when the value of t is equal to zero
therefore
The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life
