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.