(a) The relationship that exists between the total distance traveled by the lab cart and the time is linear.
(b) The slope of this graph is 0.284.
(c) The equation relating distance and time for these data is y = 0.284x + 0.036.
Relation between the distance and time of motion
The relationship that exists between the total distance traveled by the lab cart and the time is linear because both increased proportionally.
Slope of the graph
The slope of this graph is calculated as follows;
m = Δy/Δx
where;
- Δy is change in y values
- Δx is change in x values
choose any two data points
(1, 0.32) and (6, 1.74)
m = (1.74 - 0.32) / (6 - 1)
m = 0.284
Equation relating distance and time for these data
(y - y₁)/(x - x₁) = m
(y - 0.32) / (x - 1) = 0.284
y - 0.32 = 0.284(x - 1)
y - 0.32 = 0.284x - 0.284
y = 0.284x + 0.036
To be more accurate, you need to plot these points on graph.
Learn more about equation of line here: https://brainly.com/question/13763238
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