Which of the following equations is an example of inverse variation between the variables x and y
1 answer:
Answer:
The correct answer is option B
Step-by-step explanation:
The general form of inverse variation between the variables x and y is as following:
where c is constant
option A : y = x/12 ⇒ x = 12y (wrong option)
option B : y = 12/x ⇒ y * x = 12 (correct option) and c will be equal 12
option C : y = x + 12 ⇒ not similar to the general form (wrong option)
option D : y = 12x (wrong option)
So, the correct option is B
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It is given that z varies directly with x and inversely with the square of y so it follows:
It is also given that z=18 when x=6 and y=2 so it follows:
So the equation of variation becomes:
Therefore the value of z when x=7 and y=7 is given by:
Hence the value of z is 12/7 or 1.7143.