Images.pcmac.org



Algebra 1 Unit 7: Exponential FunctionsName___________________________________Exponential Data - Growthdate_____________________block___________1) World Population Growth The current world population is 7.08 billion people (7,800,000,000). The population has been increasing at a steady percentage rate since the year 1950. The table below shows the world population every decade through 2000.Calendar YearYear since 1950World Population in billions195002.251960102.711970203.261980303.921990404.692000505.64Input the data in your graphing calculator or use desmosGraph the data.Calculate the regression equation and create your exponential function equation (rounding to thousandth, 3 decimal places) Draw a rough sketch of your graph here – label the y-intercept with an ordered pair.Interpolate data using the equation – what was the population in 1965?546417518097500Extrapolate data using the equation – what will the population be in 2020? When will the population be 10 billioni?2) Carbon Dating Scientists can determine the age of fossils they find by using a process called radio-carbon dating. An isotope called Carbon-14 decays by a regular percentage every year. Let’s say we’re doing an Archaeological dig in Egypt, and we find a mummified cat. It originally had 5 grams of carbon-14. We know the cat was buried 5000 years ago. Let’s call when it was buried “year 0”. The amount of carbon-14 for years since it was buried was calculated and presented in a table: 519303061595020000Years since mummified cat was buriedAmount of Carbon-14 (grams)051001.4952000.4473000.1334000.039Input the data in your graphing calculator or use desmosGraph the data.Calculate the regression equation and create your exponential function equation (rounding to thousandth, 3 decimal places) Draw a rough sketch of your graph here – label the y-intercept with an ordered pair.Interpolate data using the equation – How much carbon-14 was in the mummified cat 250 years after it was buried?Extrapolate data using the equation – How much carbon-14 is in the mummy today (5000 years after it was buried)? Write your result in scientific notation. When is the amount of carbon 0.3 grams? ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download