A. The y-intercept of the function is equal to the value of y when x = 0, so y = 8 ft
This means that the horse is already 8 ft away from the barn initially.
B. The average rate of change represents the slope of the equation. This can be calculated using the formula:
m = (158 – 58) / (3 – 1) = 50 ft / hour
C. Since we already have our y-intercept and slope, we can establish the line equation:
y = 50 x + 8
When y = 508 then x is,
508 = 50 x + 8
50 x = 500
x = 10 hours
It takes 10 hours to reach a displacement of 508 ft.
