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 1

You first find the constants of variation.

#zharrx# and the constant=#A# Direct variation means #z=A*x->A=z/x=15/6=5/2or2.5#
#zharry# and the constant=#B# Inverse variation means: #y*z=B->B=2*15=30#
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Answer 2

The direct variation function is z = kx, where k is the constant of variation. The inverse variation function is z = k/y.

To find the constant of variation in the direct variation, substitute the given values (x=6, y=2, z=15) into the equation and solve for k: 15 = k * 6. k = 2.5.

To find z when x=4 and y=9, substitute these values into the direct variation function: z = 2.5 * 4. z = 10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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