Determine Liam’s swimming rate by using the equation [tex]\( d = 3t \)[/tex].
The slope of the line representing Liam's swimming rate is calculated as follows:
[tex]\[ \text{Liam's rate} = 3 \, \text{meters per second} \][/tex]
Use the table to calculate Edgar’s swimming rates:
1. When [tex]\( t = 20 \)[/tex] seconds, [tex]\( d = 64 \)[/tex] meters.
[tex]\[ \text{Rate} = \frac{64}{20} = 3.2 \, \text{meters per second} \][/tex]
2. When [tex]\( t = 40 \)[/tex] seconds, [tex]\( d = 128 \)[/tex] meters.
[tex]\[ \text{Rate} = \frac{128}{40} = 3.2 \, \text{meters per second} \][/tex]
3. When [tex]\( t = 60 \)[/tex] seconds, [tex]\( d = 192 \)[/tex] meters.
[tex]\[ \text{Rate} = \frac{192}{60} = 3.2 \, \text{meters per second} \][/tex]
Calculate the average of Edgar's swimming rates:
[tex]\[ \text{Edgar's average rate} = \frac{3.2 + 3.2 + 3.2}{3} = 3.2 \, \text{meters per second} \][/tex]
Compare the swimming rates:
Liam’s rate: [tex]\( 3.0 \)[/tex] meters per second \
Edgar’s average rate: [tex]\( 3.2 \)[/tex] meters per second
Since [tex]\( 3.2 > 3.0 \)[/tex], Edgar swims at a faster rate than Liam.
So, the correct answer to fill the boxes is:
Edgar swims at a faster rate than Liam
