Solving Problems Involving Direct Variation Quiz 8.5E

When swimming underwater, ear pressure varies directly with depth. The pressure in the ears is 8.6 pounds per square inch as a depth of 20 feet. What is the pressure, in pounds per square inch, at a depth of 40 feet?

• 93 lb/sq in

• 46.5 lb/sq in

• 33.8 lb/sq in

• 17.2 lb/sq in

Tags

CCSS.7.RP.A.3

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes. It will take ____ gallons of water to wash 10 loads of dishes.

The cost of buying apples for the Fall Festival varies directly with the number of bags purchased. It will cost $___ to purchase 7 bags.

The total profit from the Band's spaghetti dinner fundraiser varies directly with the number of dinner tickets sold. If the sale of 22 tickets results in $253 profit, how many tickets must be sold to reach the fundraising goal of $700?

• 21 tickets

• 55 tickets

• 61 tickets

• 46 tickets

Tags

CCSS.6.RP.A.3C

The cost of a pizza varies directly with the length of the diameter of the pizza. If a pizza with a 12-inch diameter costs $8.64, a pizza with a 16-inch diamter should cost $_______.

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CCSS.7.RP.A.3

Does the equation y = 2.3x + 4 show a direct variation? Explain why or why not.

• Yes, the constant of variation is 2.3.

• No, the constant of variation has to be expressed as a whole number or a fraction.

• Yes, this is a proportional relationship.

• No, the graph of this equation does not pass through the origin.

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CCSS.7.RP.A.2D

The value of y varies directly with x.  When y = 75, x =  $\frac{1}{2}$ . What is the value of y when x is 2 $\frac{1}{4}$  ?  

•  $84\ \frac{3}{8}$  

•  $337\ \frac{1}{2}$  

•  $16\ \frac{2}{3}$  

•  $168\ \frac{3}{4}$