Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then

...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get


Putting
, we get

Therefore, the correct option is A.
Ŷ<span> “y-hat” = predicted average y value for a given x, found by using the regression equation.
</span>p̂ “p-hat” -----> <span>proportion
</span>I can't type y-bar but its a straight line on the top of letter y.
There are 1728 cubic inches in a cubic foot... not sure bout the sketch part.
X = fraction 1 over 12
x = fraction 1 over 3
x = 3
x = 12
The given choices are the successive steps to solve the question :fraction 1 over 6x = 2
of which the last choice is the solution.
The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.