Direct and Inverse variation

1. Which of the following represents the statement, m varies directly as j.

• A. . j = km

• B. m = k/j

• C. k = j/m

• D. m = kj

2. If p varies directly as q and p = 18 when q = - 6, then k is __________.

• A. -3

• B. -1/3

• C. 1/3

• D. 3

3. The amount (A) of money raised in a concert to the number (n) of tickets sold is an example of what kind of variation?

• A. direct

• B. inverse

• C. joint

• D. combined

4. In the variation equation M = 2t. What happens to M when t is doubled?

• A. M is halved

• B. M is doubled

• C. M is tripled

• D. M becomes zero

5. If a varies directly as b, and a = 18 when b = 4.5, find a when b = 8.

• A. 3.2

• B. 4

• C. 32

• D. 74

6. Which of the following table of values illustrates direct variation?

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7. What mathematical statement describes the graph below?

• A. y = 2/3 x

• B. y = 3/2 x

• C. y = 6x

• D. x = 3/2 y

8. Given that y varies directly as x, find the missing values of x and y in the table below

• A. . x = 27; y = 6

• B. x =30; y = 6

• C. x =27; y = 3

• D. . x = 6; y = 27

9. If 3 identical packages weigh 105 kg. How much will 15 of these packages weigh?

• A. 315 kg

• B. 525 kg

• C. 1250 kg

• D. 1575 kg

10. The number of words Janna printed varied directly with the amount of time she spent printing. If she printed 250 words in 5 minutes, how long would it take her to print 1200 words?

• A. 20 minutes

• B. 22 minutes

• C. 24 minutes

• D. 30 minutes