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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?

Respuesta :

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

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

[tex]s=93\log d+65[/tex]

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

        [tex]s=93\log d+65[/tex]

     [tex]280=93\log d+65[/tex]

[tex]93\log d=280-65\\93\log d=215[/tex]

   [tex]\log d=2.312\\[/tex]

        [tex]d=10^{2.312}\\d=205.035\\d\approx 205[/tex]

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

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