If y varies inversely with x, and x = -12 when y = 5. How do you find the inverse variation equation and use it to find the value of x when y = 10?

driliwra7

driliwra7

Answered question

2022-09-01

If y varies inversely with x, and x = -12 when y = 5. How do you find the inverse variation equation and use it to find the value of x when y = 10?

Answer & Explanation

Monserrat Ellison

Monserrat Ellison

Beginner2022-09-02Added 22 answers

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 given condition
x=−12 when y=5
y = k x k = x y = - 12 × 5 = - 60
equation is | 2 2 y = - 60 x 2 2 | ̲ ¯
when y=10
x = - 60 y = - 60 10 = - 6

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