Direct Variation

DIRECT VARIATION

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Multiple Choice

Heather’s weekly pay varies directly 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. Which proportion properly sets up her equation?

• $$\frac{174\ dollars}{x}=\frac{24\ hours}{40\ hours}$$  

• $$\frac{174\ dollars}{40\ hours}=\frac{y}{24\ hours}$$  

• $$\frac{174\ dollars}{24\ hours}=\frac{y\ }{40\ hours}$$  

• $$\frac{24\ hours}{174\ dollars}=\frac{y}{40\ hours}$$  

Multiple Choice

A person’s weekly pay varies directly 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. Which equation correctly sets up this direct variation situation?

• $$\frac{123\ dollars}{20\ hours}=\frac{y}{31\ hours}$$  

• $$\frac{123\ dollars}{x}=\frac{20\ hours}{31\ hours}$$  

• $$\frac{123\ dollars}{31\ hours}=\frac{y}{20\ hours}$$  

• $$\frac{20\ hours}{123\ dollars}=\frac{y}{31\ hours}$$  

Fill in the Blanks

Multiple Choice

-9w + 7 - 4w - 16

• -13w -9

• 5w -23

• -13w - 23

• -5w - 9