Show that the following data are exponential and find a formula for an exponential model. t f(t) t f(t) 0 448.00 3 580.17 1488.32 4 632.39 2 532.27 5 689.30 Complete the following table and explain how this table shows that the data are exponential. (Round your answers to two decimal places.) new f(t) old f(t) t increment 0 to 1 1 to 2 2 to 3 3 to 4 4 to 5 488.32 448.00 = 532.27 532.27 632.39 580.17 632.39 = 1.09 Find a formula for an exponential model. Of(t) = 224 x 1.36⁰ = 336 x 0.82* O f(t) = Of(t) = 784 x 0.55t f(t) = 448 x 1.09 O f(t) = 672 x 1.64⁰ = 1.09 = 1.09 The t values are equally spaced and the successive ratios are the same, therefore the data are exponential. The t values are equally spaced and the ratios are all negative, therefore the data are exponential. The t values are equally spaced and the ratios are all positive, therefore the data are exponential. O The t values are equally spaced and each ratio increases by the same amount each time, therefore the data are exponential. O The t values are equally spaced and each ratio decreases by the same amount each time, therefore the data are exponential.
Show that the following data are exponential and find a formula for an exponential model. t f(t) t f(t) 0 448.00 3 580.17 1488.32 4 632.39 2 532.27 5 689.30 Complete the following table and explain how this table shows that the data are exponential. (Round your answers to two decimal places.) new f(t) old f(t) t increment 0 to 1 1 to 2 2 to 3 3 to 4 4 to 5 488.32 448.00 = 532.27 532.27 632.39 580.17 632.39 = 1.09 Find a formula for an exponential model. Of(t) = 224 x 1.36⁰ = 336 x 0.82* O f(t) = Of(t) = 784 x 0.55t f(t) = 448 x 1.09 O f(t) = 672 x 1.64⁰ = 1.09 = 1.09 The t values are equally spaced and the successive ratios are the same, therefore the data are exponential. The t values are equally spaced and the ratios are all negative, therefore the data are exponential. The t values are equally spaced and the ratios are all positive, therefore the data are exponential. O The t values are equally spaced and each ratio increases by the same amount each time, therefore the data are exponential. O The t values are equally spaced and each ratio decreases by the same amount each time, therefore the data are exponential.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 12CC
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