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

C. 20 seconds

Step-by-step explanation:

We want to know when y=0

The first y is when it started and the second y=0 is when it stops

Looking at the graph y=0 at x=0 and  y=0 at x=20

The fan started at time 0 and stopped at 20 seconds

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.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.