Z varies directly with x and inversely with y when x=6 and y=2, z=15. How do you write the function that models each variation and then find z when x=4 and y=9?

Silimbuga92

Silimbuga92

Open question

2022-09-03

Z varies directly with x and inversely with y when x=6 and y=2, z=15. How do you write the function that models each variation and then find z when x=4 and y=9?

Answer & Explanation

Bogalskilk

Bogalskilk

Beginner2022-09-04Added 9 answers

z x and the constant = A
Direct variation means
z = A x A = z x = 15 6 = 5 2 or 2.5
z y and the constant = B
Inverse variation means:
y z = B B = 2 15 = 30

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