Show that the following data are exponential and find a formula for an exponential model. f(t) t f(t) 448.00 3 518.62 470.40 4 544.55 493.92 5 571.77 t 0 1 2 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 5 470.40 448.00 493.92 Of(t) = 784 x 0.53* Of(t) = 448 x 1.05⁰ Of(t) = 336 x 0.79t 493.92 544.55 518.62 544.55 Find a formula for an exponential model. Of(t) = 672 x 1.58 Of(t) = 224 x 1.31* = 1.05 = 1.05 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 the successive ratios are the same, therefore the data are exponential. O The t values are equally spaced and the ratios are all negative, 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. O The t values are equally spaced and the ratios are all positive, therefore the data are exponential. = 1.05
Show that the following data are exponential and find a formula for an exponential model. f(t) t f(t) 448.00 3 518.62 470.40 4 544.55 493.92 5 571.77 t 0 1 2 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 5 470.40 448.00 493.92 Of(t) = 784 x 0.53* Of(t) = 448 x 1.05⁰ Of(t) = 336 x 0.79t 493.92 544.55 518.62 544.55 Find a formula for an exponential model. Of(t) = 672 x 1.58 Of(t) = 224 x 1.31* = 1.05 = 1.05 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 the successive ratios are the same, therefore the data are exponential. O The t values are equally spaced and the ratios are all negative, 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. O The t values are equally spaced and the ratios are all positive, therefore the data are exponential. = 1.05
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Show that the following data are exponential and find a formula for an exponential model.
Transcribed Image Text:Show that the following data are exponential and find a formula for an exponential model.
f(t) t f(t)
448.00 3 518.62
470.40 4 544.55
493.92 5 571.77
t
0
1
2
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
470.40
448.00
493.92
Of(t) = 784 x 0.53*
Of(t) = 448 x 1.05⁰
Of(t) = 336 x 0.79t
493.92
544.55
518.62
544.55
Find a formula for an exponential model.
Of(t) = 672 x 1.58
Of(t) = 224 x 1.31*
= 1.05
= 1.05
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 the successive ratios are the same, therefore the data are exponential.
O The t values are equally spaced and the ratios are all negative, 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.
O The t values are equally spaced and the ratios are all positive, therefore the data are exponential.
= 1.05
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