Direct Variation Worksheet - Alg

Direct Variation Worksheet ... Write a direct variation equation for the relationship between the number of ... ANSWER KEY: y = ax; constant of variat...

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Name: _________________________________

Period: _____

Direct Variation Worksheet Write the direct variation formula ___________ What is a called? __________________________ Where is the y–intercept of any direct variation equation? ________________________

1) Circle the equation that is NOT an example of direct variation. A) y =

−7 x +1   3

 

B) y =

5 x 16

C) y = 4x

D) y = –9x

2) Circle the equation that is a direct variation equation. A) y = 7 – 3x

B) 3x – 7y = 1

C) 3x – 7y = 0

D) 3y = 7x – 1

3) What is the direct variation equation if y = 8 and x = 4? __________ 4) What is the direct variation equation if y = –5 and x = 7? __________ For 5–7, the graph of a direct variation is shown. a) Write the direct variation equation for the graph. b) Determine the value of y when x = 8 using your equation. 5) 6) 7)

a) ________________

a) ________________

a) ________________

b) ________________

b) ________________

b) ________________

8) Suppose y varies directly with x, and when y is 16, x is 8. a) Write the direct variation equation for the data. b) Find y when x is 16. a) ____________ b) ____________ 9) Suppose y varies directly with x, and when y is 2, x is 3. a) Write the direct variation equation for the data. b) Find x when y is 42. a) ____________ b) ____________ 10) A recipe for 2 dozen corn muffins calls for 3 cups of flour. The number of muffins varies directly with the amount of flour used. a) Write a direct variation equation for the relationship between the number of cups of flour and muffins. (Hint, cannot use the number 2 in the equation.) ________________ b) Use the equation to determine how many cups of flour are needed to make 6 dozen muffins. ________________ 11) Your distance from a lightning bolt varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. a) Write a direct variation equation for the relationship between time and distance. ________________ b) How many seconds it will take for the thunder to travel a of 4 miles. ________________

ANSWER KEY: y = ax; constant of variation, on the origin (0, 0) 1) A

5) a) y = –x b) y = –8

9) a) y = 2/3x b) x = 63

2) C

6) a) y = 5/4x b) y = 10

10) a) y = 8x b) 9 cups of flour

3) y = 2x

7) a) y = –3/4x b) y = –6

11) a) y = 1/5x b) 20 seconds

4) y = –5/7x

8) a) y = 2x b) y = 32