Question
If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
Answers
GPT 3.5
To find the constant of variation, we can use the formula for inverse variation which is:
y = k/x
where k is the constant of variation.
Given that y = -16 when x = -64, we can plug these values into the equation to solve for k:
-16 = k / -64
To find k, multiply both sides by -64:
-16 * -64 = k
k = 1024
Therefore, the constant of variation is 1024.
y = k/x
where k is the constant of variation.
Given that y = -16 when x = -64, we can plug these values into the equation to solve for k:
-16 = k / -64
To find k, multiply both sides by -64:
-16 * -64 = k
k = 1024
Therefore, the constant of variation is 1024.