Exponential Growth and Decay

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y = 0.08(15,000)^x

• y = 15,000(1 + 0.08)^x

• y = 15,000(1 - 0.08)^x

• y = 15,000(1 - 0.8)^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $31,500
• $310,502
• $316,473
• $361,223

Six years ago you bought a brand new car for $20,000. It depreciated (went down) at a rate of 17% the first three years and then it went down at a rate of 11% the next three years. Approximately, how much is the car currently worth?

• $9939.63

• $8061.84

• $8005.02

• $6538.81

This is an example of: $y=\ 25\left(\ 0.20\right)^x$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

This is an example of: $f\left(x\right)=\ 0.25\left(\ 1.3\right)^x$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Dave starts a savings account with an initial amount of $150. The account increases 35% each year? Which equations represents this scenario?

• y = 150(35)^x

• y = 150(1.35)^x

• y = 150(0.35)^x

• y = 35(1.150)^x

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CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month.  Write an exponential function to model the situation for "x"  amount of months.

• $f\left(x\right)\ =\ 1.25\ \left(\ 4000\right)^x$

• $f\left(x\right)\ =\ 4000\ \left(\ 1.25\right)^x$

• $f\left(x\right)\ =\ 4000\ \left(\ 0.75\right)^x$

• $f\left(x\right)\ =\ 0.75\ \left(\ 4000\right)^x$

Your shiny new boat cost $7650. The value of your boat will depreciate (go down )about 14% per year. What equation will model the value of the boat in three years?

• y= 7650(0.14)³

• y= 7650(0.86)³

• y= 7650(-0.14)³

• y= 7650(1.14)³

If I had a baseball that was worth $3500 and it was reported to increase in value at a rate of 5% per year. How long would it take for the baseball to double in value?

• 20 years

• Between 19 and 20 years

• Between 13 and 14 years

• Between 14 and 15 years

Twenty years ago, Mr. Davis purchased his home for a certain price. Since then, the value of the home has increased about 3% per year. As of today, his home is worth $250,000. How much did Mr. Davis originally buy the house for 20 years ago?

• $135,948.59

• $138,418.94

• $150,000.00

• $451,527.81