Algebra 2 Variations Practice

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 

• y=20x
• y=84x
• y=7/3x
• y=3/7x

y = kx
represents which kind of variation?

• Inverse
• Direct

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

The time required to complete a job varies inversely as the number of people working. It   took 4 hours for 7 electricians to wire a building. How long would it have taken 3   electricians to have done the job?

• 1 hr 43 min
• 5 hr 15 min
• 7 hr 30 min
• 9 hr 20 min

The time, y, to finish loading the boxes varies inversely as the number of people, x, working.  If 10 people work, the job is completed in 16 hours. How long does it take 8 people to load the boxes?

• 12.8 hours
• 20 hours
• 13 hours 
• 5 hours

The cost for the company to ship the boxes varies inversely with the number of boxes being shipped.  If 25 boxes are shipped at once, it will cost $10 per box.  How much would it cost to ship only 10 boxes?

• $25
• $4
• $15
• $7

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

• 5.33 hours 
• 6.75 hours 
• 12 hours 
• 10 hours 

Is this a direct variation?  y =2x + 1

• Yes
• No

What kind of equation is this?
xy=8

• Linear Equation
• Direct Variation
• Inverse Variation
• Joint Variation

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

• 8 painters
• 10 painters
• 9 painters
• 11 painters