Question

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65. On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. How far did the tornado travel?

Answer 1

The distance the tornado traveled was approximately 205 miles.

Explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

`s=93\log d+65`

Compute the value of d for s = 280 as follows:

`s=93\log d+65`

`280=93\log d+65`

`93\log d=280-65\\93\log d=215`

`\log d=2.312\\`

`d=10^(2.312)\\d=205.035\\d\approx 205`

Thus, the distance the tornado traveled was approximately 205 miles.