Anthony N.

FInd the exponential equation that goes through the following sets of points.

1.  (0, 7) and (2, 63) 2) (0, 3) and (1, 15)

3) (0, 0.2) and (4, 51.2) 4) (0, -2) and (-2, -32)

5) In 1983 there were 102,000 farms in Minnesota. By 1998, this number had dropped to 80,000. Write an exponential function that could be used to model the farm population of Minnesota. Write the function in terms of the number of years since 1983. Use the model to predict how many farms you would expect to be left in Minnesota in 2003.

Write an exponential equation that goes through the given points and has the given asymptote.

6) (0, 7) and (3, 28) and has an asymptote at y = 4

7) (1, 13) and (3, 133) and has an asymptote at y = -2

8) You take your tea out of the microwave and it is way too hot to drink. You don’t think to measure how hot it is until after it has been on the counter for one minute. After one minute, it is 170 degrees Fahrenheit. After 3 minutes, it is 135 degrees Fahrenheit. How hot will it be after 10 minutes? (Assume the temperature of the room is 68 degrees Fahrenheit.)

9) My parents bought a house for $250,000. If it appreciates in value (or gains value) at a rate of 4% per year, 1. How much will it be worth 10 years from now? 2. How much was it worth 10 years ago? (Hint: use the same rate of growth, the same b value, but going back in time would mean x = -10) 10) On every football game Friday for the last 17 years, Mr. Koenig and I have shared a Big Breakfast with Hotcakes at McDonald’s as our game day breakfast. A Big Breakfast with Hotcakes costs$5.29. If the price has increased at a rate of 2% per year,

1.  What will the big breakfast cost 7 years from now?
2. What did it cost 17 years ago?

11) Some family friends bought a motorhome when they retired. Their motorhome cost $100,000. If it depreciates (loses value) at a rate of 5% per year, what will it be worth 8 years from now? 12) My parents bought a house for$250,000. If it appreciates in value (or gains value) at a rate of 4% per year, how many years will it take before their home is worth $325,000? 13) On every football game Friday for the last 17 years, Mr. Koenig and I have shared a Big Breakfast with Hotcakes at McDonald’s as our game day breakfast. A Big Breakfast with Hotcakes costs$5.29. If the price has increased at a rate of 2% per year, how long will it take before a Big Breakfast costs $10.00? 14) Some family friends bought a motorhome when they retired. Their motorhome cost$100,000. If it depreciates (loses value) at a rate of 5% per year, how many years will it take before their motorhome is worth \$10,000?