Exploring Variation in Mathematics

1. If y varies inversely with x and y = 4 when x = 2, what is the value of y when x = 8?

• 1

• 2

• 0

• -4

2. Write the equation for direct variation if y = 10 when x = 5.

• y = 2x

• y = 5x

• y = 10x

• y = x + 5

3. A varies directly with B and inversely with C. If A = 12 when B = 6 and C = 3, find the equation for A in terms of B and C.

• A = 2 * (B - C)

• A = 4 * (B + C)

• A = 12 * (C / B)

• A = 6 * (B / C)

4. If z varies directly as x and inversely as y, and z = 15 when x = 5 and y = 3, what is the value of z when x = 10 and y = 6?

• 20

• 10

• 15

• 5

5. Solve for k if y = k/x when y = 3 and x = 4.

• 6

• 8

• 12

• 10

6. If the cost of 5 apples is $10, find the cost of x apples assuming direct variation.

• 3x

• x/2

• 2x

• 5x

7. If y = 2/x, what is the value of y when x = 10?

• 0.5

• 1.0

• 0.2

• 5.0

8. Write the equation for partial variation if y = 3 when x = 2 and the constant of variation is 5.

• y = 3x + 1

• y = 5x - 7

• y = 5x + 1

• y = 2x - 3

9. If A varies directly with B and A = 20 when B = 4, what is A when B = 10?

• 50

• 60

• 40

• 30

10. Solve for x in the equation 3 = k/x if k = 12.

• 3

• 6

• 4

• 12