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Solve a radical equation given a function

In a hurricane, the mean sustained wind velocity v (in meters per second) is given by. v ( p ) = 6.3 1013 – p. .

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Solve a radical equation given a function

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  1. In a hurricane, the mean sustained wind velocity v(in meters per second) is given by v(p) = 6.3 1013 – p  where pis the air pressure (in millibars) at the center of the hurricane. Estimate the air pressure at the center of a hurricane when the mean sustained wind velocity is 54.5 meters per second. EXAMPLE 2 Solve a radical equation given a function Wind Velocity

  2. v(p) = 6.3 1013 – p  = 6.3 54.5 1013 – p 1013 – p 1013 – p    8.65 2 (8.65)2 74.8 1013 –p –p p 938.2 EXAMPLE 2 Solve a radical equation given a function SOLUTION Write given function. Substitute 54.5 for v(p). Divide each side by 6.3. Square each side. Simplify. – 938.2 Subtract 1013 from each side. Divide each side by –1.

  3. ANSWER The air pressure at the center of the hurricane is about 938millibars. EXAMPLE 2 Solve a radical equation given a function

  4. ANSWER about 954 mille bars. for Example 2 GUIDED PRACTICE 4. What If?Use the function in Example 2 to estimate the air pressure at the center of a hurricane when the mean sustained wind velocity is 48.3meters per second.

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