Question

The Drama Club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 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 9:35 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 :45 p.M. So, ? The second showing ? Be over by 9:35 p.M.

Answer 1

Part A

2 hours 10 minutes

Part B;

Please find attached a number line created with MS Visio

Part C

The completed explanation is given as follows

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m

Explanation:

Part A

The given parameters are;

The time the first showing starts, t₁ = 4:35 p.m.

The time the first showing starts, t₂ = 7:15 p.m.

The time interval between shows,
`t_(interval)` = 1/2 hours = 30 minutes

Let 'x' represent the video in minutes, we have;

x = 7:15 - 4:35 - 30 = 2 hours 40 minutes - 30 minutes = 2 hours 10 minutes

The length of the video = 2 hours 10 minutes

Part B;

Using the number line, we have;

1) Plotting the points for the starting and points for the two showing points which are 4:35 pm. and 7:15 p.m.

2) Plot the point 30 minutes before the start of the second movie which is 6:45 p.m and find the time difference between the start of the first showing and the point 6:45 p.m. which gives the length of the movie which is 2 hours and 10 minutes

3) Given that the second showing starts 20 minutes late, the second showing will start at 7:15 p.m. + 20 min = 7:35 p.m.

4) The second showing ends at 7:35 p.m. + 2 hours 10 minutes = 9:45 p.m.

Therefore, the second showing will be over 9:35 p.m.

Part C

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m.