Question

A hurricane center uses the function s = 95logd + 75 to relate the wind speed in miles per hour s and distance in miles d a hurricane travels. How many miles will the hurricane travel with a wind speed of approximately 320 mph?

Answer 1

Answer:

The given functional relation between the wind speed "s" in miles per hour and distance "d" in miles is,

s = 95 log d + 75

So, if s = 320 mph

Then,

320 - 75 = 95 log d

or,

245 / 95 = log d

2.57894 = log d

So, d = Antilog (2.57894) = 379.2625 miles.

Therefore, the distance covered with the corresponding wind speed will be 379.2625 miles.

Hope this helps you !

You can take the help of log tables for this calculation if permitted.