Question

Trayvon recorded the number of minutes he spent practicing each swimming event over three days. He recorded his times in the table below.

Trayvon’s Swim Practice Times

Monday
Wednesday
Friday
Backstroke
12.5 min
15.67 min
9.32 min
Butterfly
14.333 min
12.1 min
10.78 min

Which statement explains how to find the event Trayvon spent more time practicing?
Compare the sum 12.50 + 15.67 + 9.32 = 37.49 to the sum 14.333 + 12.100 + 10.780 = 37.213; he spent more time practicing the backstroke than the butterfly.
Compare the sum 12.05 + 15.67 + 9.32 = 37.04 to the sum 14.333 + 12.001 + 10.078 = 36.412; he spent more time practicing the backstroke than the butterfly.
Compare the sum 12.500 + 14.333 = 26.833 to the sum 15.67 + 12.10 = 27.77 and to the sum 9.32 + 10.78 = 20.1; he spent more time practicing on Wednesday than on the other days.
Compare the sum 12.005 + 14.333 = 26.338 to the sum 15.67 + 12.01 = 27.68 and to the sum 9.32 + 10.78 = 20.1; he spent more time practicing on Wednesday than on the other days.

Answer 1

To determine which swimming event Trayvon spent more time practicing, we need to compare the total times for each event over the three days.

First, let's sum the times for the backstroke:
- Monday: 12.50 minutes
- Wednesday: 15.67 minutes
- Friday: 9.32 minutes

Total time for backstroke:
\[ 12.50 + 15.67 + 9.32 = 37.49 \text{ minutes} \]

Next, let's sum the times for the butterfly:
- Monday: 14.333 minutes
- Wednesday: 12.1 minutes
- Friday: 10.78 minutes

Total time for butterfly:
\[ 14.333 + 12.1 + 10.78 = 37.213 \text{ minutes} \]

Now, we compare the totals:
- Backstroke: 37.49 minutes
- Butterfly: 37.213 minutes

Since \( 37.49 > 37.213 \), Trayvon spent more time practicing the backstroke.

Now, we look for the statement that correctly explains this comparison. The correct statement is:
**"Compare the sum 12.50 + 15.67 + 9.32 = 37.49 to the sum 14.333 + 12.100 + 10.780 = 37.213; he spent more time practicing the backstroke than the butterfly."**