Find the constant of variation for the stated condition: y varies directly as x , and y = 225 when x = 100.
A) $k = \frac { 1 } { 9 }$
B) $k = \frac { 1 } { 4 }$
C) $k = \frac { 9 } { 4 }$
D) $k = 22,500$
E) $k = \frac { 4 } { 9 }$

Question

Quizplus · Accepted Answer

If y varies directly as x, we can write the equation in the form:

y = kx

where k is the constant of variation.

To find k, we can use the given values:

y = 225 when x = 100.

Substitute these values into the equation and solve for k:

225 = k(100)

k = 225/100

k = 9/4

Therefore, the constant of variation is k = 9/4. The answer is choice C.

Find the Constant of Variation for the Stated Condition: Y k=19k = \frac { 1 } { 9 }k=91​

Find the Constant of Variation for the Stated Condition: Y $k = \frac { 1 } { 9 }$