Direct Variation Quiz

1. f(3) = 4 and f(-3) = 2

f(x) = x/3 + 3

f(x)=(1/6)x + 14

f(x)=(2/3)x - 3

f(x)=(1/2)x + 5

2. If y varies directly with x, and y = 10 when x = 5, find the value of y when x = 8.

y=16

y=21

y=43

y=23

3. Is the given pair {(2,3), (3,4), (4,5)} a direct variation?

Yes

No

4. Determine whether or not the given pair {(3b,1.5b),(10b,5b),(4b,2b)} is a direct variation. If so what is the slope(m)?

Yes, m=-.5

Yes, m=1.5

Yes, m=.5

No

5. Solve the proportion for a, 3:6 = 7:a

14

15

16

17

6. If y varies directly with x and y is 42 when x is 7, find x when y is 72.

x=10

x=11

x=12

x=-10

7. The number of workers needed to complete a construction project varies directly with the amount of work to be done. If 8 workers can finish the project in 12 days, how many days will it take for 12 workers to complete the same project?

D=19

D=21

D=18

D=21

8. If y=k(x+4), and y is 4 when x is -3, find x when y=5.

x=-11/4

x=53/7

x=11/2

y=-23/4

9. Is (4,7) included in g if g is a linear function with g(x)=k(2x+1) and (2,5) is included in g?

No

Yes

N/A

None of the Above

10. If b varies directly with 1.5z, and b is 35 when z is 5, find b when z is 7. Round your answer to the nearest integer.

b=37

b=50

b=-11

b=-73

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Direct Variation Quiz