Final answer:
To find the number of goats at hour 85, we can use a linear equation. By setting up two points on a graph, we can determine the equation of the line that represents the number of goats over time. Substituting 85 into the equation, we find that there are 27,200 goats at hour 85.
Step-by-step explanation:
To find the number of goats at hour 85, we can use a linear equation since the number of goats is increasing over time. We can set up two points on the graph: (3, 1400) and (6, 2300). Using the slope-intercept form of a linear equation, we can find the equation of the line that represents the number of goats over time. Then we can substitute 85 for the time variable to find the number of goats at hour 85.
Slope = (2300 - 1400)/(6 - 3) = 900/3 = 300 goats/hour.
Using the point-slope form of a linear equation, we have y - 1400 = 300(x - 3).
Therefore, y = 300(x - 3) + 1400.
Substituting x = 85, we get y = 300(85 - 3) + 1400 = 25800 + 1400 = 27200 goats.