Question

*PLEASE HELP!!* The minimum sustained wind speed of 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. Let v
represent the wind speed.

Answer 1

Answer:

Using $|X-a|=b$

where a is the center or average and b is the distance from the center or the range

Here, v represents the wind speed.

As per the statement:

Minimum sustained wind speed(A)= 74 miles per hour.

Maximum sustained wind speed(B) = 95 miles per hour.

Use the center and distance to write an absolute value equation:

$\text{Center} = \frac{\text{A+B}}{2}$

then;

$\text{Center (a)} = \frac{74+95}{2}=\frac{169}{2}=84.5$

Distance from the center(b)= 95-84.5 = 10.5

then;

$|v-84.5| =10.5$

Therefore, an absolute value equation that represents the minimum and maximum speeds is,  $|v-84.5| =10.5$

Answer 2

5 - 12.5| = -7.5 and |20 - 12.5| = 7.5