Question

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 130 miles per hour, which equation could be used to find the distance that the tornado traveled?

Answer 1

To find the distance that the tornado traveled, rearrange the equation S = 93log(d) + 65 to solve for d. The equation to find the distance is d = 10^(65/93), where d is the distance in miles.

Step-by-step explanation:

To find the distance that the tornado traveled, we can rearrange the equation S = 93log(d) + 65 to solve for d.

First, subtract 65 from both sides of the equation: 130 - 65 = 93log(d). Now, divide both sides by 93: 65/93 = log(d). Finally, take the inverse logarithm of both sides to find d: 10^(65/93) = d.

Therefore, the equation to find the distance that the tornado traveled is d = 10^(65/93), where d is the distance in miles.

Answer 2

Step-by-step explanation:

Given

Tornado speed is given by

`S=93\log_(10) d+65`

where, S=wind Speed

d=distance in miles

if
`S=130 mph`

then

`130=93\log_(10) d+65`

`93\log_(10) d=65`

`\log_(10) d=0.6989`

`d=10^(0.699)`

`d=5.0003\ miles`