Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent?
Answers
Given : graph and equation, y = 3x, that represent Alonso’s walking speed.
To Find : What relationship is represented by this equation and graph
Solution:
y = Distance traveled
x = time
Speed = Rate of change of distance = dy/dx
y = 3x
3 = speed - constant ( in this case)
x = time independent variable
y = distance - dependent variable
Moving with uniform speed
points (3, 9)
at time = 3 unit , distance = 9 unit
points (5, 15)
at time = 5 unit , distance = 15 unit
Slope = ( 15 - 9)/(5 - 3) = 3 is speed
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Answer:
the x value represents the time and the Y value represents the distance
Step-by-step explanation: