raquel teaches dance classes each evening starting at5:380p.m. she teaches 3 40 minute classes and 2 50 minute classes.she has a 10 minute break between classes.make a table to find the time her last class ends.

a.)9:10
b.)9:20
c.)9:30
d.)9:50

You must have a typo.

None of the choices are correct.

starting at5:380p.m ?

To find the time her last class ends, we need to add up the total time for all the classes and the break periods.

First, we need to convert the start time to a 24-hour format. 5:38 PM becomes 17:38.

Next, let's calculate the time for each class:

- 3 classes, each lasting 40 minutes = 3 * 40 minutes = 120 minutes.
- 2 classes, each lasting 50 minutes = 2 * 50 minutes = 100 minutes.

Also, there are 4 breaks between the classes:

- The first break is 10 minutes.
- The second, third, and fourth breaks are also 10 minutes each, totaling to 30 minutes.

Now, let's add up all the times:

Start time: 17:38
Time for the 3 dance classes: 120 minutes
Time for the 2 dance classes: 100 minutes
Total break time: 30 minutes

To calculate the end time, we add the start time, class time, and break time:

17:38 + 120 minutes + 100 minutes + 30 minutes

To simplify the calculation, let's convert the minutes into hours and minutes:

120 minutes = 2 hours (since there are 60 minutes in an hour)
100 minutes = 1 hour and 40 minutes
30 minutes = 30 minutes

So, we have:

17:38 + 2 hours + 1 hour 40 minutes + 30 minutes

Adding up the hours:

17 hours + 2 hours + 1 hour = 20 hours

Adding up the minutes:

38 minutes + 40 minutes + 30 minutes = 108 minutes

Since there are 60 minutes in an hour, we need to convert those 108 minutes into hours and minutes:

108 minutes = 1 hour and 48 minutes

Adding up the hours and minutes:

20 hours + 1 hour = 21 hours
48 minutes

So, the last dance class ends at 21:48, which is 9:48 PM.

Therefore, the correct option is d.) 9:50.