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Direct Variation Worksheet ... Write a direct variation equation for the relationship between the number of ... ANSWER KEY: y = ax; constant of variation,
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DIRECT AND INVERSE VARIATION WORKSHEET and QUIZ review. Show your work on the back or on a separate sheet of paper. NAME: _____ DATE: _____
Direct and Inverse Variation Worksheet Name:_____ Find the Missing Variable: 1) y varies directly with x. If y = -4 when x = 2, find y when x = -6
138 Chapter 3 Proportions and Variation 3.7 Lesson Key Vocabulary direct variation, p. 138 Direct Variation Words Two quantities x and y show direct variation when y = kx
DIRECT AND INVERSE VARIATION HOW TO IDENTIFY A DIRECT VARIATION PROBLEM: (a) when the problem states a direct variation exists or states that a variable is directly
DIRECT, INVERSE AND JOINT VARIATION WORKSHEET ... Answer the question. State whether each equation represents a direct, inverse, or joint variation
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Direct Variation Worksheet 1. Which equation is not an example of a direct variation?
A. 1 B. C. y = 4x D. y = -9x
2. Which equation is not an example of a direct variation? A. y = x B. 2x + 3y = 0 C. D. 5x + 6y = 30
Name the constant of variations(k) for each equation. 3. y = 5x
4. x 5.
Write a direct variation equation that relates the two variables. Then solve. 6. Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.
7 Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.
8. Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11.
9. Suppose a varies directly as b, and a = 7 when b = 2. Find b when a = 21.
10. Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1.
11. Does the following graph represent a direct variation?
12. Does the following graph represent a direct variation?
Direct Variation Word Problems Write a direct variation equation for the relationship between income and number of hours. Estimate how Example: A local fast food restaurant takes in $9000 in a 4 hour period. many hours it would take the restaurant to earn $20,250. a. Write a direct variation equation for the income in any number of hours. Step 1: Assign variables: Let i = income and h = hours Step 2: Determine the constant of variation Formula:
k = 2250
(constant of variation)
Step 3: Write the direct variation equation Formula: y = kx or i = kh i = 2250h
(direct variation equation)
b. Estimate how many hours it would take the restaurant to earn $20,250. i = 2250h 20250 = 2250h
(direct variation equation) (substitute 20,250 for income and solve)
h=9
At this rate, it will take 9 hours for the restaurant to earn $20,250
13. Your distance from lightning 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. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.
14. A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies directly with the amount of flour you use. a. Write a direct variation equation for the relationship between the number of cups of flour and the number of muffins.
b. Estimate how many cups of flour are needed to make 6 dozen muffins.
