Answer:
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
Step-by-step 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, = 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.