Which equation best matches the graph shown below?
1 answer:
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Factor f(t) and you can identify the values of t for which the height is zero.
.. f(t) = -16t(t -3)
The projectile lands after 3 seconds in the air. (selection A)
.. f(t) = -16t(t -3)
The projectile lands after 3 seconds in the air. (selection A)
• Given the table of values, you can identify these points:
If you plot them on a Coordinate Plane, you get:
As you can observe, it is a Linear Function.
• The equation of a line in Slope-Intercept Form is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you can identify in the graph that:
Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:
And then solve for "m", in order to find the slope of the line.
Using this point:
You get:
Therefore, the equation for the data in Slope-Intercept Form is:
Hence, the answer is:
• It represents a Linear Function.
,• Equation:
