Question

the minimum wind speed if a category 1 hurricane is 74 miles per hour. the maximum sustained wind speed is 95 miles per hour. write an absolute value equation that represents the minimum and maximum speeds.

Answer 1

The general equation of an absolute value equation is: |x - μ|, where μ is the mean and x is a single data point. The data points given are 74 and 95.

μ = (74 + 95)/2 = 84.5

Let's solve for |x - μ|:
|74 - 84.5| = 10.5
|95 - 84.5| = 10.5

Therefore, the absolute value equation is:
|x - 84.5| = 10.5