Algebra

The Occupational Safety and health Administration (OSHA) estblished permissible sound exposures in the work-place. This is modeled by the equation: S=-2.817H + 108.9

Use the formula for the problem:

S=maximun permissible sound level in decibels

H=number of hours of exposure

How long can you be exposed to receive a maximum sound level of 105 decibels?

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asked by G
  1. Are you sure that's a negative 2.817 in your equation?

  2. Are you sure that's a negative 2.817 in your equation?

    Yes it is a negative. It worked for the other problems.

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    posted by G
  3. OK. Then please follow PsyDag's advice and substitute and solve for H.

  4. Yes I have tried calculating the problem. The book says the answer is 1.38. I am not getting this answer.

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    posted by G
  5. 105 = -2.817H + 108.9
    105 - 108.9 = -2.817H
    -3.9 / -2.817 = H
    1.38 = H

  6. Your question:

    The Occupational Safety and health Administration (OSHA) estblished permissible sound exposures in the work-place. This is modeled by the equation: S = -2.817H + 108.9

    Use the formula for the problem:

    S = maximun permissible sound level in decibels

    H = number of hours of exposure

    How long can you be exposed to receive a maximum sound level of 105 decibels?

    We replace S with 105.

    105 = =-2.817H + 108.9

    We now solve for H.

    105 - 108.9 = -2.817H

    -3.9 = -2.817H

    We now divide both sides by -2.817 to find H.

    -3.9/-2.817 = H

    1.38 hours = H

    Done!

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    posted by Guido

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