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A company’s profits increase $500,000 each year since it was established.

Classify each of the following functions as linear, quadratic, exponential growth, exponential decay, or none of the above. Classify each of the following functions as linear, quadratic, exponential growth, exponential decay, or none of the above.

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A company’s profits increase $500,000 each year since it was established.

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  1. Classify each of the following functions as linear, quadratic, exponential growth, exponential decay, or none of the above.

  2. Classify each of the following functions as linear, quadratic, exponential growth, exponential decay, or none of the above. A company’s profits increase $500,000 each year since it was established. 8. Gas prices have doubled every week.

  3. 9. Solve each of the following by writing an equation and then answering the questions. Be sure to state your answers in complete sentences when necessary. The population in a small town is currently 5,000 people. The population increases at a rate of 8.4% a. Write the equation to represent the town’s population after t years? b. What will the population of the town be after 6 years? c. How many years will it take for the population to surpass 10,000 people?

  4. 10. Solve each of the following by writing an equation and then answering the questions. Be sure to state your answers in complete sentences when necessary. The rate of reported cases of robbery is dropping at about 7% per year in a given region in the country. The number of cases reported this year was approximately 156,000. Assume the number of cases continues to drop at this rate. a. Write the equation that represents the number of robberies after t years. b. What will be the predicted number of robberies in 1 year? c. What will be the predicted number of robberies in 4 years?

  5. 11. Solve each of the following by writing an equation and then answering the questions. Be sure to state your answers in complete sentences when necessary. The population of Howard County, Maryland was 247,842 people, as reported by the 2000 Census. The population is growing by approximately 1.9% each year. Write the equation that represents this situation. b. What is the population predicted to be this year (2009)?

  6. For each of the following functions below a) State if the function is growth or decayb) State whether the function is increasing or decreasingc) Identify the y-interceptd) State how the graph has shiftede) State the domain and range of the functionf) Write the equation of the asymptoteg) Graph the function.

  7. Simplify. Write answers without negative or zero exponents. You MAY leave fractional exponents.

  8. Solve each of the following by writing an equation and then answering the questions. 21. Find the final amount for each investment. $1750 is deposited at 5% interest compounded monthly for 10 years. 22. Find the final amount for each investment. $1000 is deposited at 6% interest compounded semiannually for 20 years.

  9. Re-write using radical notation. Re-write using rational exponents.

  10. Simplify. You MAY leave fractional exponents.

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