Question
If y varies inversely with x, and y = -16 when x = -64, what is the constant of variation?
a.16
b.64
c.100
d.1,024
a.16
b.64
c.100
d.1,024
Answers
GPT 3.5
To find the constant of variation when y varies inversely with x, we use the formula:
y = k/x
where k is the constant of variation.
Substitute the values of y = -16 and x = -64 into the formula:
-16 = k / -64
Multiply both sides by -64:
-16 * -64 = k
k = 1024
Therefore, the constant of variation is 1024.
The correct option is:
d. 1,024
y = k/x
where k is the constant of variation.
Substitute the values of y = -16 and x = -64 into the formula:
-16 = k / -64
Multiply both sides by -64:
-16 * -64 = k
k = 1024
Therefore, the constant of variation is 1024.
The correct option is:
d. 1,024