What is the slope of the line with the equation of y=3/4x that passes through the point (2,1)?
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Answer:
Step-by-step explanation:
In this problem, it is given that,
The stopping distance, D, in feet of a car is directly proportional to the square of it's speed, V.
We need to write the direct variation equation for the scenario above. It can be given by :
To remove the constant of proportionality, we put k.
k is any constant
Hence, this is the required solution.
Let as described in the problem statement. Plugging in
and
gives us the equations
and
Since
are nonzero, we divide the second equation by the first to get
which means that
after taking the cube root. Plugging this value for
into the first equation, we now have
Solving gives
and our desired exponential equation is