If y varies inversely with x and y = 8 when x = 5, then what is y when x = 2?

Janessa Bradshaw

Janessa Bradshaw

Answered question

2022-08-31

If y varies inversely with x and y = 8 when x = 5, then what is y when x = 2?

Answer & Explanation

Cora Bird

Cora Bird

Beginner2022-09-01Added 8 answers

varies inversely means 1 variable
the initial statement is y 1 x
To convert to an equation, multiply by k, the constant of variation.
y = k × 1 x = k x
to find k, use the condition given
that is y=8 when x=5
y = k x k = x y = 5 × 8 = 40
equation is | 2 2 y = 40 x 2 2 | ̲ ¯
when x = 2 y = 40 2 = 20

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