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Name: _______________________________________ Date: ________________ Assignment #: ____Direct Variation Worksheet Which equations is not an example of a direct variation?y=-73x+1B. y=516xC. y=4xD. y=-9xWhich equations is not an example of a direct variation?y=xB. 2x+3y=0C. y=12xD. 5x+6y=30Name the constant of variation (k) for each equation.y=5xy=12xy=-23xWrite a direct variation equation that relates the two variables. Then solve.Suppose y varies directly as x, and y = 16 when x = 8. Find y when x = 16.Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11.Suppose a varies directly as b, and a = 7 when b = 2. Find b when a = 21.Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1.Do the following graphs represent a direct variation? Direct Variation Word ProblemsWrite a direct variation equation to represent the problem. Use your equation to answer the question.A local fast food restaurant takes in $9000 in a 4 hour period. Write a direct variation equation for the relationship between income and number of hours. Estimate how many hours it would take the restaurant to earn $20,250.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. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles. 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. Estimate how many cups of flour are needed to make 6 dozen muffins.Heather’s weekly pay is directly proportional to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work. A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert? A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads? Two minutes after a skydiver opens his parachute, he has descended 1,900 feet. After 5 minutes, he has descended 4,750 feet. If the distance varies directly as the time, at what rate is the skydiver descending?3886200192405The amount of money Robin has raised for a bike-a-thon is shown in the graph. Determine the amount that Robin raises for each mile she rides.Most pets age at a different rate than their human companions. For example, a 3-year-old dog is often considered to be 21 in human years. Assume that the age of a dog varies directly as its equivalent age in human years. What is the human-year age of a dog that is 6-years-old? ................
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