Buisness Calc. TI-84 allowed. 12 #1. Consider the data table here: y 2 4.8 11.52

Question

Buisness Calc. TI-84 allowed. 12 #1. Consider the data table here: y 2 4.8 11.52 27.648 66.3552 (a) When the inputs of a data table are spaced evenly, as they are in the above table, we can check to see if the data is exponential by computing the ratios of consecutive output valucs. For this particular table, this means that we would compute the following: 4.8 11.52 27.648 66.3552 2 481152 27.648 If these consecutive ratios are all the same, we know that the data is exponential and we can come up with the exponential model for the data without using exponential regression. Compute the ratios of consecutive y-values for the given table and report the common ratio in the box, rounded to one decimal place. (Hint: I chose this data to be perfectly exponential, and so these consecutive ratios will all be the same in this case.) la (b) Each time z increases by 3 units, y increases by what factor? Round your answer to one decimal place 1b (e) If, instead, a were increased by 1 unit, y would increase by what factor? Round your answer to three decimal places. 1c (d) Find an exponential model (a.k.a. funetion) for the data. Round the numbers in your model to three decimal places. Use proper function notation with your answer. (Hint: You do NOT noed to use the exponential regression feature in your calculator. At this point in the problem, you alrcady have everything you nond to write the model.) 1d

Explanation / Answer

1.

2. if x increases by 3 units y increases by 2.4 units.

x y ratio of y 0 2 3 4.8 2.4 6 11.52 2.4 9 27.648 2.4 12 66.3552 2.4

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