Direct Variation Problems #2

Write a direct variation equation that relates the two variables. Then solve. Suppose y varies directly as x, and y = 12 when x = 4. Find y when x = 16. The value of y is _____

Write a direct variation equation that relates the two variables. Then solve. Suppose y varies directly as x, and y = 15 when x = 5. Find x when y = 45. The value of x is _____.

Write a direct variation equation that relates the two variables. Then solve. Suppose y varies directly as x, and y = 81 when x = 6. Find x when y = 54.

Write a direct variation equation that relates the two variables. Then solve. Suppose a varies directly as b, and a = 14 when b = 4. Find b when a = 49.

A local fast food restaurant makes $8600 in an 8 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 $17200.

• 8 hours

• 10 hours

• 12 hours

• 16 hours

You use a scale of 1 inch to 12 miles on a map to figure mileage of a trip. If you travel 480 miles, how many inches on the map would that be?

• 40 inches

• 30 inches

• 20 inches

• 10 inches

A recipe for 5 dozen corn muffins calls for 8 cups 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 35 dozen muffins.

• 48 cups

• 48 cups

• 56 cups

• 64 cups

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?

• 156 gallons

• 130 gallons

• 144 gallons

• 120 gallons

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?

• 28

• 35

• 42

• 49

Peyton is 5 feet tall and casts a 20-foot shadow. At the same time, Lisa casts an 18-foot shadow. How tall is Lisa?

• 5 feet

• 4.5 feet

• 4 feet

• 4.8 feet