The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that the tornado travels and S is the wind speed, in miles per hour.If the wind speed was 150 miles per hour, how many miles did the tornado travel? Round your answer to the nearest tenth.

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Asked Nov 14, 2019
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The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that the tornado travels and S is the wind speed, in miles per hour.

If the wind speed was 150 miles per hour, how many miles did the tornado travel? Round your answer to the nearest tenth.

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Step 1

Refer to the question we need to find the distance, in miles, that the tornado travels when wind speed was 150 miles per hour. Also The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that the tornado travels and S is the wind speed, in miles per hour.

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S 93log d65

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Step 2

Now substitute the value of speed s=150 in the above equation and solve for d ,

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S 150 Then S 93log d65 150 93 log d65 93 log d 85 85 log d 93

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Step 3

Now use the logarithm definition to s...

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If log2 (b) cthen b a 85 log d 93 S5 d 109 d 8.2miles

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