The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?
y = 2x
y = 4x + 2.5
y = 4x + 4
y = 1.5x + 4.0
Answers
Answer:y = 1.5x + 4.0
Step-by-step explanation:
This is because the equation relates the distance traveled (y) to the time elapsed (x) through a linear relationship with a slope of 1.5, which represents the object's speed in meters per second, and a y-intercept of 4.0 meters, which represents the initial position of the object at time zero.
I'm pretty sure.
The equation that describes the motion of the object is y = 2x (option a)
Let's calculate the slope (m) using the values from the table. We take any two points (x₁, y₁) and (x₂, y₂) from the table:
(x₁, y₁) = (1, 2.0)
(x₂, y₂) = (5, 10.0)
The slope (m) is given by:
m = (y₂ - y₁) / (x₂ - x₁)
m = (10.0 - 2.0) / (5 - 1)
m = 8.0 / 4
m = 2.0
Now that we have the slope (m), we can determine the equation:
y = mx + b
Using one of the points from the table (1, 2.0) and the calculated slope (m = 2.0), we can solve for the y-intercept (b):
2.0 = 2.0 * 1 + b
2.0 = 2.0 + b
b = 2.0 - 2.0
b = 0
So, the Answer is option (a) y = 2x
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Step-by-step explanation:
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