Direct Variation Problems

The price of lemons varies directly with the number of pounds of lemons. If it cost $6.20 for 5 pounds of lemons, how much does it cost for 3 pounds of lemons?

• $3.72

• $1.24

• $1.84

• $3.00

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

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Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

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Which of the following represents direct variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

The sales at a baseball game vary directly with the number of people attending.  If sales for a game are $12,000 when 800 people attend, determine attendance if sales are $30,000

• 1200 people

• 1500 people

• 2000 people

• 2400 people

The gallons of water used to take a shower varies directly with the number of minutes in the shower. If an 8 minute shower uses 48 gallons of water, find the constant of variation.

• 1/6

• 6

• 8

• 48

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x

• y=100x

• y=5.25x

• y=4/21x

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. What is the constant of variation?

• k = 123

• k = 20

• k = 6.15

• k = 0.16

What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power 

• direct variation

• inverse variation

• joint variation

• none of these

• direct variation
• inverse variation
• neither direct nor inverse variation