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The equation d = 3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds. The table glves 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____​

Respuesta :

The slope of the line representing the linear graph is a rate of 3.2 meters per second.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the distance in meters and x represent the time in seconds. Hence:

  • Using the points (20, 64) and (60, 192)

[tex]Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{192-64}{60-20} =3.2[/tex]

The slope of the line representing the linear graph is a rate of 3.2 meters per second.

Find out more on linear equation at: https://brainly.com/question/14323743