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Q: X varies directly with y and z. x 120 when y 5 and z 8. Find x when y 6 and z 2.?

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f(2) = 24.

What is y? Fx varies with x, but y could be anything.

The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.

To find the LCM, you need to find the GCF. 120 factors to [2 2 2 3 5] 16 factors to [2 2 2 2] Common factors [2 2 2] GCF = 8 Now, the LCM is the product divided by the GCF 120 * 16 / 8 = 240 ■

direct variation: y = kx y = kx k = y/x = 0.8/0.4 = 2

Related questions

If y varies directly as x and if x = 2 when y = 8 then k = 4.

f(2) = 24.

40

What is y? Fx varies with x, but y could be anything.

If y varies directly as x then k = 2.

y = -5

y varies directly with x means y = kx, where k is the constant of the variation. When x = 2.5 and y = 5, we have y = kx 5 = 2.5k k = 2 When x = 10, y = kx y = (2)(10) y = 20

To find the LCM, you need to find the GCF. 120 factors to [2 2 2 3 5] 16 factors to [2 2 2 2] Common factors [2 2 2] GCF = 8 Now, the LCM is the product divided by the GCF 120 * 16 / 8 = 240 ■

The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.

Thirty: 30*2+60=120

It is 2.

122