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cupoosta [38]
3 years ago
11

y varies inversely x and y =-4 when x =7 . find the constant of variation and use it to write the equation that relates the vari

ables
Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
When y varies inversely with x, we have the follow equation:

y = kx

k = constant of variation

To find k, plugin the values for y = -4 and x = 7 and then solve for k

y = kx
-4 = k7
-4 / 7 = k7/7
-4 / 7 = k
k = -4 / 7
Now that we found k, we write the equation that relates the variables like below
y = -\frac{4}{7}x
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