Math - Lab 3 Essay

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MA1310 – Week 3 Lab Answer the following questions to complete this lab: 1. State in a few words, what is an exponential function? * Functions whose equations contain a variable in the exponent. 2. What is the natural exponential function? * The logarithmic function with base e. 3. Evaluate 4–1.5 using a calculator. Round your answer to three decimal places. * .125 4. The formula S = C (1 + r)^t models inflation, where C = the value today * C = 510,000 r = the annual inflation rate * r = .03 S = the inflated value t years from now * t = 5 Use this formula to solve the following problem: If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years? S=C1+rt S=510,000 (1+.03)^5 S=510,000 1.035 S=591,229.78 S=C1+rt S=510,000 (1+.03)^5 S=510,000 1.035 S=591,229.78 5. Write 6 = log2 64 in its equivalent exponential form. * 26=64 6. Write 8y = 300 in its equivalent logarithmic form. * 7. Hurricanes are some of the largest storms on earth. They are very low pressure areas with diameters of over 500 miles. The barometric air pressure in inches of mercury at a distance of x miles from the eye of a severe hurricane is modeled by the formula f(x) = 0.48 ln (x + 1) + 27. (Source: A. Miller and R. Anthes, Meteorology) a. Evaluate f(0) and f(100). Interpret the result. b. At what distance from the eye of the hurricane is the air pressure 28 inches of mercury? 8. Describe the quotient rule for logarithms and give an example. 9. Use properties of logarithms to expand the following: Submission Requirements: Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and submit the paper. Name the file as InitialName_LastName_Lab3.1_Date.

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