Question

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. Use decimal numbers instead of fractions.
The equation d = 3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.

The table gives the different distances in meters that Edgar swam with respect to time in seconds.

Time (seconds) Distance (meters)
20 64
40 128
60 192
Assume that Liam and Edgar both swim at a constant rate. On a graph of these relationships, the slope of the line representing the greater unit rate in terms of distance traveled per unit of time would be
.

So,
swims at a faster rate than
.

Answer 1

so the main things we need to find the speed (distance per time), for both people, and then compare them to see who's faster

Liam's equation: d = 3t

compare this to the generic equation d = rt, where d = distance, r = rate (in this case, the speed) and t = time

what would your r-value be? that'll end up being Liam's speed

Answer 2

for Edgar's speed, we need to look at the table

Time (seconds) Distance (meters)
20 64
40 128
60 192

since Edgar travels at a constant (linear) speed, you can simply divide one of the distance values, by its corresponding time value (ex: 64 m / 20 seconds) to get Edgar's speed

once you have both speeds, simply see whose speed value is greater