Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of
500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute. The equation has been graphed as shown.
Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
A. 100 seconds
B. 10 seconds
C. 20 seconds
D. 500 seconds
Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
A. 100 seconds
B. 10 seconds
C. 20 seconds
D. 500 seconds
2 answers:
Answer:
20 seconds
Step-by-step explanation:
Given :
Where x represents time in seconds and y represents the speed in rotations per minute.
To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
Solution:
Since we are supposed to find how long will it take to stop the fan completely
We assumed that test was complete when the fan stopped spinning completely
i.e. y = Speed = 0
So, Substitute y = 0 in the equation
⇒
⇒
⇒
⇒
⇒
Thus it took 20 seconds to stop the fan
Hence the test was 20 seconds long.
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