Determine whether y varies directly with x. if so, find the constant of variation and write the equation.
yes; k = −4 and x = −4y
yes; k = −4 and y = −4x
yes; k = 4 and y = 4x
no

Third Option

yes; k = 4 and y = 4x

Step-by-step explanation:

Observe in the values of x and y given that when x decreases the variable-y also decreases.

Then the variation is direct.

Then, if between any two points of the function, the rate of variation k remains the same then the variation is constant.

We can test whether these conditions are met by using the given points.

(-2, -8) and (-4, -16)

The rate of variation k for these points is:

Now we calculate the variation rate for the points

(-4, -16) and (-6, -24)

The rate of variation is constant and equal to 4.

Then the answer is yes; k = 4 and y = 4x

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

5+2x=a

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