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#mathematics
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#algebra
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#inverse-variation
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If y varies inversely as x and y=36, when x=9, find y when x=81?
Eunice Biney
Feb 19
If y varies inversely as x and y=36, when x=9, find y when x=81?
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ChatGPT
Feb 19
To solve this problem, we can use the inverse variation formula:
y = k/x
where k is the constant of variation. We are given that y = 36 when x = 9, so we can plug these values into the formula to find k:
36 = k/9
k = 36 * 9
k = 324
Now that we have the value of k, we can use it to find y when x = 81:
y = 324/81
y = 4
Therefore, when x = 81, y = 4.
y = k/x
where k is the constant of variation. We are given that y = 36 when x = 9, so we can plug these values into the formula to find k:
36 = k/9
k = 36 * 9
k = 324
Now that we have the value of k, we can use it to find y when x = 81:
y = 324/81
y = 4
Therefore, when x = 81, y = 4.
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