growth/decay

Tell whether the following represent exponential growth or decay. Type the word growth or decay. Spelling counts!. Numbers larger than 1=growth, less than 1=decay y = 30(0.6 ^{x})y = (⅞) ^{x}y = 2(5) ^{x}A new car that sells for $31,000 and is losing it's value at a rate of 23% each year. Write a function that models the value of the car. Simplify the number in parenthesis. Do NOT use any commas, $, or extra zeros in your answer. y= ( ) x f(x) = (712 + 0.24) f(x) =712(1.24) An initial population of 712 quail increases at an annual rate of 24%. Write an exponential function to model the quail population. f(x) = 712(0.24) f(x) = 712(0.76) Time is in hours, how many lives in 15 hours y =P(.5) ^{t}The half-life of an element is 6 hours. If you have 56mg of the element, how much will you have after 15 hours? 12mg 20mg 5.6mg 9.9mg y=8 ^{x}y =1.2(3) ^{x}In the following exponential functions, what are the values of "a" and "b"? b: a: b: a: Mrs. Cooke is buying a painting for $1,500. (She found a money tree in her closet!) It appreciates (grows) in value 22% every year. Write a function that models the value of the painting. Simplify the number in parenthesis. Do NOT use any commas, $, or extra zeros in your answer. y= ( ) x y =P(.5) ^{t}The half-life of a Iodine-32 is 2 days. If you have 100-mg of Iodine-32, how much will you have after 12 days? .5 mg .003 mg .02 mg 1.56 mg A new car that sells for $31,000 and is losing it's value at a rate of 23% each year. What is the value of the car in 5 years? $8391.03 $87,274.48 $27,595.26 $19.95 In the year 2000, the population in Canada was about 85 million and growing at a rate of 1.32% each year. At this growth rate, the function f(x) = 85(1.0132) in millions, x years after 2000. Using this model, in what year will the population reach 100 million? 2011 2012 2013 2014
The equation f(x) = 3,150(.95) declining populations of cardinals in one Michigan county. How many cardinals will there be in 7 years? 20,948 cardinals 2200 cardinals 2.1 x 10 2395 cardinals 14 rabbits 12 rabbits 16 rabbits 18 rabbits The rabbit population that is in the back of Mrs. Maynard's house is growing at a rate of 18% per year. If there are 8 rabbits trying to get into her garden in 2012, how many rabbits will be trying to get in in 2016? (round to the nearest whole rabbit) |

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