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Question

Kelvin, Danny, and Eric swam in a freestyle race at their school.

Each student's finish time was lower than the school's previous record for freestyle.

Kelvin's finish time was 1.6 seconds below the previous record.
Danny's finish time was 2.1 seconds below the previous record.
Eric's finish time was 0.8 seconds below the previous record.
Determine whether each statement comparing their finish times is true. Select True or False for each statement.

Kelvin finished the race faster than Danny because |-1.6| > |-2.1|.

Danny finished the race faster than Eric because |-2.1| > |-0.8|.

Kelvin finished the race faster than Eric because |-1.6| > |-0.8|.

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Answer 1

To assess the truthfulness of each statement, we need to evaluate the numerical values provided and determine who had the fastest finish times.

The finish times below the previous record are as follows:

• Kelvin's finish time: 1.6 seconds below the record
• Danny's finish time: 2.1 seconds below the record
• Eric's finish time: 0.8 seconds below the record

Since a smaller negative number (or a larger positive number) indicates a better (faster) finish time in this context, we assess the absolute values (which represent how much below the record each person's finish time was):

• Kelvin's finish time: -1.6
• Danny's finish time: -2.1
• Eric's finish time: -0.8

Now, let's evaluate the statements:

1. Kelvin finished the race faster than Danny because |-1.6| > |-2.1|.

   • This is False because |-1.6| = 1.6 and |-2.1| = 2.1, and 1.6 is not greater than 2.1.

2. Danny finished the race faster than Eric because |-2.1| > |-0.8|.

   • This is False because |-2.1| = 2.1 and |-0.8| = 0.8, and 2.1 is not greater than 0.8.

3. Kelvin finished the race faster than Eric because |-1.6| > |-0.8|.

   • This is False because |-1.6| = 1.6 and |-0.8| = 0.8, and 1.6 is not greater than 0.8.

In summary, all statements are False.