Radical Applications

The average amount of apples consumed by Americans (in pounds per person) between 1980-2000 can be modeled by the equation y=√(22x+275) where x is the number of years since 1980. In what year were about 20 pounds of apples consumed per person?

• 1986
• 1990
• 5.7 years
• 30.7 years

Tags

CCSS.8.EE.A.2

The average profit of a company (in millions per month) from 2001 to 2008 can be modeled by the equation y=4.5√(1.2x+1.05) where x is the number of years since 2000. In what year will the profit be 12 million?

• 2005
• 2007
• 2008
• 2002

Tags

CCSS.HSA.REI.A.2

The hull speed, s, in nautical miles per hour of a sailboat can be modeled by the formula s=1.34√L where L is the length in feet of the sailboat’s waterline.Find the speed of a boat whose hull length is 10 feet. Round your answer to the nearest tenth of a nautical mile.

• 4.2 miles

• 4.24 miles

• 55.7 miles

• 56.7 miles

Tags

CCSS.8.EE.A.2

The number of eggs sold in a supermarket each day can be modeled by the equation y=4500√(0.5x+2) where x is the number of days past since Monday.On what day will 9000 eggs be sold?

• Friday
• Tuesday
• Thursday
• Saturday

Tags

CCSS.8.EE.A.2

The price of a certain kind of computer is surely decreasing. A recent survey shows that the price of Acer 5950G is calculated by the function P(t)=823√(4-0.62t), where P is the price (measured by dollars) and t is the time (measured by years). How many years will it take for the price to decrease to $1000. Round your answer to the nearest tenth.

• 4.1 years
• 4.07 years
• 5.21 years
• 5.2 years

Tags

CCSS.HSA.REI.A.2

The average amount of sewage discharged by a manufactory (in tons per month) from 2001 to 2010 can be modeled by the equation y=235√(2x+0.75) where x is the number of years since 2000. In what year was about 610 tons of water discharged per month?

• 2004
• 2003
• 2005
• 2002

Tags

CCSS.8.EE.A.2

The number of bacteria in a swimming pool after disinfection can be modeled by the equation y = 5500√(0.025x+0.1) where x is the number of minutes past.At what time are there 3000 bacteria left in the swimming pool? Round your answer to the nearest whole number.

• 7 minutes
• 9 minutes
• 8 minutes
• 10 minutes

Tags

CCSS.HSA.REI.A.2

The price of a certain kind of computer is surely decreasing. A recent survey shows that the price of Acer 5950G is calculated by the function P(t)=823√(4-0.62t), where P is the price (measured by dollars) and t is the time (measured by years). Find the exact price of this computer after three years.

• $1,203.94
• $1,203.95
• $1,203
• $1,204

The sum of an integer and 3 times its square root is 40. Find the integer.

• 64
• 25
• 64 or 25

Tags

CCSS.8.EE.A.2

The difference between an integer and its square root is 12. What is the integer?

• 9 or 16
• 9
• 16

Tags

CCSS.8.EE.A.2