To find a linear model that represents the minimum pressure of a hurricane (y) versus its maximum sustained wind speed (x), we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point. In this case, the given slope is -2.3 and the given point is (80, 878).
Substituting the values into the equation, we get:
y - 878 = -2.3(x - 80)
Using distributive property, we can simplify the equation:
y - 878 = -2.3x + 184
Rearranging the equation to solve for y, we get:
y = -2.3x + 1062
Therefore, the linear model that represents the minimum pressure of a hurricane (y) versus its maximum sustained wind speed (x) is:
y = -2.3x + 1062
using the slope -2.3 and the point (80, 878), find a linear model that represents the minimum pressure of a hurricane, y, versus its maximum sustained wind speed, x.
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