If y varies inversely as x. When y = 12, x = 7. How do you find the constant of variation and use it to determine the value for y when x = 4?

Nyasia Flowers

Nyasia Flowers

Answered question

2022-09-04

If y varies inversely as x. When y = 12, x = 7. How do you find the constant of variation and use it to determine the value for y when x = 4?

Answer & Explanation

Peyton Cox

Peyton Cox

Beginner2022-09-05Added 18 answers

If y varies inversely as x then
XXXxy=c for some constant of variation c

We are told (x,y)=(7,12) is a solution for this equation so
XXX 7 × 12 = c
XXX c = 84

When x=4
4y=84
XXX y = 21

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