The Drama Club is showing a video of their recent play. The first showing begins at 3:45 p. m. The second showing is scheduled at 6:25 p. m. with a 1 2 −hour break between the showings. How long is the video in hours and minutes? The video is hours and minutes. Complete the explanation of how you can use a number line to find the answer. You can work backward from the start time of the second showing at : . You count back 1 2 hour, which is minutes, for the break between showings to : . The second showing started 20 minutes late. Will the second showing be over by 8:45 p. m.? Complete the explanation why your answer is reasonable. The second showing started at : p. m. The movie lasts hours minutes, so it ends at :55 p. m. So, the second showing be over by 8:45 p. m.

a) The movie is 2 hours and 10 minutes long.

b) Check Explanation

c) The second showing starts at 6:45 p.m. The movie lasts 2 hours and 10 minutes, so it ends at 8:55 p.m. So, the second showing will not be over by 8:45 p.m.

Step-by-step explanation:

The first showing starts at 3:45 pm, the second showing starts at 6:25 pm and there's a break of (1/2) hour between the showings,

To now find how long the video was.

The length of the film.is the difference between the times 6:25 pm and 3:45 pm while also removing the (1/2) hour break time too.

The time between 3:45 pm and 6:25 pm is 2 hours, 40 minutes. Now removing the (1/2) hour break from this time, we are left with 2 hours, 10 minutes.

Hence, the movie is 2 hours and 10 minutes long.

b) To use the number line, we would convert the times into hours, that way, it works.

The time 3:45 is 3.75 on the number line, the time, 6:25 is 6.4167 on the number line. And the (1/2) hour break is a length of 0.5 on the number line.

Working backwards from 6.4167, we go back a length of 0.5 and land on 5.9167.

We can then calculate the length of time between 3.75 and 5.9167

5.9167 - 3.75 = 2.16667 hours

Which directly translates to 2 hours and 10 minutes as obtained in (a)

c) The second showing started 20 minutes late. Will the second showing be over by 8:45 p.m.? Complete the explanation why your answer is reasonable.

The second showing is known to initially start at 6:25 pm, but now, there's a delay of 20 minutes, which pushes the start time to 6:45 pm and the movie lasts for 2 hours and 10 minutes as calculated in (a).

So, 2 hours and 10 minutes from 6:45 pm gives 8:55 pm. So, the second showing will end by 8:55 pm if it starts 20 minutes late.

And the second showing will not be over by 8:45 pm.

Hope this Helps!!!