23 April, 06:22
Assume that y varies inversely
with x. If y = 7 when x = - 2, find y
when x = 7.
y = [?]
23 April, 08:08
Answer: When x = 7, y = - 2
According to question,
y ∝ 1 / x
To remove proportionality, include a constant. Let the constant be k.
y = k * (1 / x)
Now, we know that y = 7 when x = - 2
y = k * (1 / x)
7 = k * (1 / - 2)
k = - 14
The equation now becomes,
y = - 14 * (1 / x)
Now, we need to find y when x = 7.
y = - 14 * (1 / 7)
y = - 2
So, when x = 7, y = - 2.
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» Elus Assume that y varies inversely with x. If y = 7 when x = - 2, find y when x = 7. Resources y = [?]