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?
Are you sure that's a negative 2.817 in your equation?
Are you sure that's a negative 2.817 in your equation?
Yes it is a negative. It worked for the other problems.
OK. Then please follow PsyDag's advice and substitute and solve for H.
Yes I have tried calculating the problem. The book says the answer is 1.38. I am not getting this answer.
105 = -2.817H + 108.9
105 - 108.9 = -2.817H
-3.9 / -2.817 = H
1.38 = H
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!
To find out how long you can be exposed to receive a maximum sound level of 105 decibels, you can use the formula S = -2.817H + 108.9.
First, substitute the given decibel level (S) as 105 into the equation:
105 = -2.817H + 108.9
Next, rearrange the equation to solve for H:
-2.817H = 105 - 108.9
-2.817H = -3.9
Now, divide both sides of the equation by -2.817 to isolate H:
H = (-3.9) / (-2.817)
H ≈ 1.385
So, you can be exposed to a maximum sound level of 105 decibels for approximately 1.385 hours.