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Determine which exponential function is exponential growth or exponential decay or neither. f(x) = x2 f(x) = 0.75-x f(x) = (4.2)-x Growth ? Neither ? Decay ? Determine which exponential function is exponential growth or exponential decay or neither. f(x) = x/(x+2) f(x) = 0.75x f(x) = (0.2)-x Growth ? Decay ? Neither ? Determine which exponential function is exponential growth or exponential decay. f(x) = e-x f(x) = x2+4x+1 f(x) = (1/e)-x Neither ? Growth ? Decay ? In the United State, 580 billion ton-miles of freight were transported in 1960. The amount of freight has been increasing at a rate of 4.35% per year. A) Write a function representing the situation. Use the form f(t) = a(b)t to write your function. B) How long will it take for the amount of freight to reach 2320 billion ton-miles? Enter a number with two decimal places including the units and truncate the decimal. [ex: 6.658 years is 6.65 years] time in minutes ? temperature of an object decreasing over time ? decay constant ? temperature of surrounding enviroment ? initial temperature of an object ? Is the temperature of the tea decreasing or increasing as time (in minutes) elapses? What structure of the expression provides a hint to your previous answer? [Enter any of these variables]:T,-k, or t: Yes No 2. After how many minutes will the tea reach 180 degrees Fahrenheit? 1. Determine the initial temperature of the tea. 3. In the first 6 minutes, the tea will cool to: [enter a whole number] [enter a whole number] The amount of money invested increases exponentially over time in y years, as expressed by given function above. 1. Rewrite the model so that the model expresses the exponential increase over months, m [use ^ to show power of...] The amount of money invested increases exponentially over time in m months, as expressed by given function above. 2. the base represents what aspect of the situation. 1. The amount of 325 represents what aspect of the situation. 3. Even thou, the model was changed to months, what is the rate of increase per year? [enter a percent] Initial Investment ? The growth factor ? 10% ? The amount of money invested increases exponentially over time in m months, as expressed by given function above. 2. How long will it take to reach $975? 1. If you place $325 today, 2014, what will be the dollar amount, A(m), in 2020. 3. What are the units in problem #2? [truncate your answer up to the hundredth place value] [truncate your answer up to the hundredth place value] |