Modeling With Exponential

Pepsi brand's value increased by 5.75% from 2002 to 2003. Assume this continues. If the company had a value of $11,140,000 in 2002, write an equation for the value of pepsi for "t" years after 2002

• y = 11,140,000(.0575)^t
• y = 11,140,000(1+.0575t) 
• y = 11,140,000(1+.0575)^t
• y = 11,140,000^t+.0575

In 1996 the Antique Automobile Club of America had 23,000 members. It grew an average of 5% per year through 1985. Assuming this continued, what would the membership be in 2004?

• 112,000
• 78,000
• 127,000
• 151,000

According to the Cellular Telecommunications and Internet Association, the number of text messages being sent on cell phones in one month increased from 930 million to 1.2 billion from June 2002 thought June 2003. Assuming this trend continues, what would be the new number of cell phone text messages in 2004?

• 2 billion
• 1.55 billion
• 959 billion
• 980 billion 

Find the balance in the account:
$2,400 principal earning 2%, compounded annually, after 7 years 

• $2,756.85
• $307,200.00
• $17,136.00
• $2,736.00

Nintendo brand's value decreased by 11.2%from 2002 to 2003. Assume this continues. If the company had a value of $9,220,000 in 2002, write an equation for the value of Nintendo for "t" years after 2002. 

• y = 9,220,000(.112)^t
• y = 9,220,000(1-.112t)
• y = 9,220,000(1.112)^t-.112
• y = 9,220,000(1-.112)^t

A car sells for $25,000. If the rate of depreciation is 15%, what is the value of the car after 7 years?

• $8,000
• $9,400
• $7,400
• $9,800

According to the U.S. Census Bureau, the District of Columbia's population in 2000 was 572,000. In the 1990 census the population was 607,000. What was the rate of change of the population from one census to the next?

• 8%
• 6%
• 3%
• 1%

A piece of manufacturing equipment valued at $125,000 depreciates at a steady rate of 10% per year. What is the value of the equipment in 15 years?

• $26,000
• $29,000
• $33,000
• $22,000

Does the following equation model growth or decay?

y = 500(.30)^x + 7

• Growth by 30%

• Growth by 70%

• Decay by 30%

• Decay by 70%

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

• y = 7650(1 + 0.14)³

• y = 7650(1 - 0.14)³

• y = 7650e^(0.14)(3)

• y = 7650 (1 + 0.14/12)^(12)(3)