Data about the sound levels from a new speaker are collected at a manufacturing facility and are used to calculate the model ŷ = 62.7(0.915)x, where x represents the distance from the speaker in meters and ŷ represents the predicted sound level in decibels. Use the model to estimate the sound level at 10 meters away from the speaker.

62.7 decibels
38.63 decibels
25.79 decibels
9.15 decibels

Question

Data about the sound levels from a new speaker are collected at a manufacturing facility and are used to calculate the model ŷ = 62.7(0.915)x, where x represents the distance from the speaker in meters and ŷ represents the predicted sound level in decibels. Use the model to estimate the sound level at 10 meters away from the speaker.

62.7 decibels
 38.63 decibels
 25.79 decibels
 9.15 decibels

urlocalgay · Answer

@toga

toga · Answer

To estimate the sound level at 10 meters away from the speaker, we can substitute x=10 in the given model. Thus, we have:

ŷ = 62.7(0.915)^10

ŷ ≈ 25.79 decibels

Therefore, the estimated sound level at 10 meters away from the speaker is 25.79 decibels.