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# Constant for each unit in the x you for multiply each

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Unformatted text preview: ltiply each successive y term term If the multiplier is larger If than 1, it’s growth than If the multiplier is between If 0 and 1, it’s decay. and Exponential growth Exponential decay Exponential Situations Exponential Money If your savings account earns 3% interest per If year, each year you could multiply your balance by 1.03. balance • This is an example of the repeated multiplication. Bacteria Each 42 hours, a bacteria doubles so each 42 Each hour unit of time, you multiply by 2. hour • Another example of repeated multiplication. Exponential Transformation Exponential The trick is to change the The data such that it is linear. data This can be done by This taking the logarithm. taking Remember properties of Remember logarithms (when you multiply powers, you add (linear) exponents) (linear) So, essentially, you change So, the y values to exponents the Now look at the new Now scatter-plot of (x, log y) scatter-plot Years Years since 1880 1880 Production in Production Millions of barrels barrels 0 30 10 77 20 149 30 328 40 428 50 1412 60 2150 Logs of Barrels 1.477121255 1.886490725 2.173186268 2.515873844 2.631443769 3.149834697 3.3324...
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