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Sound travels about 340 m / s. The function d(t)=340t gives the distance​ d(t), in meters, that travels in t seconds. How far does sound travel in 47 ​s?

a) 15,980 meters
b) 47 meters
c) 340 meters
d) 16,000 meters

User Qbik
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1 Answer

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Final Answer:

Sound travels 15,980 meters in 47 seconds according to the function d(t) = 340t. Therefore, the correct answer is a) 15980 meters.

Step-by-step explanation:

The function d(t) = 340t represents the distance traveled by sound in t seconds, where the speed of sound is 340 m/s. To find how far sound travels in 47 seconds, we substitute t = 47 into the function: d(47) = 340 * 47 = 15,980 meters. This calculation demonstrates that after 47 seconds, sound would have traveled a distance of 15,980 meters.

The speed of sound, 340 meters per second, is a constant rate at which sound travels through a medium. Multiplying this speed by the time in seconds gives us the total distance covered. In this case, plugging in 47 for t in the equation d(t) = 340t allows us to determine the specific distance sound travels within that time frame. Therefore, the correct answer is 15,980 meters, option (a).

Understanding the equation d(t) = 340t helps us calculate the distance traveled by sound at any given time t. By substituting the value of t into the equation, we can determine the corresponding distance traveled, showcasing the direct relationship between time and distance covered by sound traveling at a constant speed of 340 meters per second. Therefore, the correct answer is a) 15980 meters.

User Derekaug
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