F– Direct and Inverse Variation Test Review



F– Direct and Inverse Variation Test ReviewName:_________________________________Alg 1 Date:________________B______________Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. Then find y when x = 2 x = 4, y = 122. x = 24 y = -6constant of variation= k = 3equation: y = 3xconstant of variation= k = ? equation: y = ? xnew point: (2, ? )new point: (2,6)Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y. Then find y when x = 3. x = 12 y = -2 4. x = 9 y = 4constant of variation= k = 36equation: y = 36/xconstant of variation= k = -24equation: y = -24/xnew point: (3,12)new point: (3,-8)Given the graphs I, II and III:I. II.III.Which one(s) show(s) direct variation. Select one answer. I onlyC. II onlyE. III onlyI & II onlyD. II & III onlyF. I, II and IIITell whether the table represents direct, inverse or no variation. If it does show variation, write the direct or inverse variation equation.6.7.8.Xy2639412515 618xy575107.5155203.75 253xy-1121-122-63-4 4-3Direct Variation: y = 3xInverse Variation: y = -12/xNeitherFor #9 & #10, set up an direct or inverse variation equation. Find the constant of variation. Write the equation. Find the new point. The distance traveled in a given time on Interstate 66 varies directly with the speed. Last week we traveled 220 miles at 55 miles per hour. How many miles would we travel in the same time period if we decreased our speed to 50 miles per hour?y = distance, x = speed220/55 = 4y = 4x200 miles The amount of work time in hours (h) needed to prepare for the school play varies inversely with the number of people working (p). Twenty five people working (p) can complete the job in 300 hours (h). Write the inverse variation equation that relates h and p. Then find the how many hours it will take if there are 30 people working.Y= hours, x = peopleY = 7500/x250 hours11. Does the given chart show direct or inverse variation? Explain why or why not. INVERSE VARIATION- The product of each point is the same (36). ................
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