The constant of proportionality is 4 / 5, the equation for the statement is y = 4 / (5 · x) and the value of y for x = 1 is 4 / 5.
According to the statement presented in the question, we know that variable y variates inversely as variable x. Inverse variation model is represented by the following model:
y ∝ 1 / x
y = k / x (1)
Where k is the constant of proportionality.
If we know that x = 2 and y = 2 / 5, then the constant of proportionality is:
2 / 5 = k / 2
k = 4 / 5
Then, the equation for the statement is y = 4 / (5 · x). If we know that x = 1, then the value of y is:
y = 4 / (5 · 1)
y = 4 / 5
The constant of proportionality is 4 / 5, the equation for the statement is y = 4 / (5 · x) and the value of y for x = 1 is 4 / 5.
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