Exponential decay of Condors and Exponential growth of

Exponential decay of Condors and Exponential growth of the goat Population in Ecuador Sebastián Jordán, Valentina Carvajal, Rebeca Pérez-Anda, Juan Ignacio Lalama 04/15

Introduction The Condor, is an important animal, People have damaged most of the condor population. The condor population is in constant decay If the condor population keeps this constant decay, will it get to the point of extintion?

The Condor • Since 2000, the Condor populations have declined, • This is a endangered species • There are only about 50 -65 Condors left in Ecuador. • causes for the decay of Condors. • In 2009 an organization dedicated to the protection of the Condor was created. • The Condor is a Monogamous animal, and it can only lay one egg a year.

In 2002, Aves & Conservación stated that there were no more than 70 individuals. The Andean Condor is considered a threat Condors, are scavengers, they only eat dead animals. The first condor census was made in 1991 and 200 condors were registered. The condor is the biggest flying land bird in the world.

Math Lab-Decay • Has the Condor population in ecuador been decreasing constantly in the last couple of years? • Used the table with data for several years (1991 -2014) of the condor pop • Calculated the df for each pair of values in the table by dividing a value by the previous one • We obtained 4 different df • Avg those • With initial amnt and df wrote the equation

Lab-Decay Condor Population Decline in Ecuador Cóndor Population Decline in Ecuador # of Year Population 1991 0 200 1996 1 100 2002 2 70 2008 3 60 2014 4 50 200 Population Year 250 p=200(0. 71 t ) p means poulation t means time in years 150 100 50 0 0 1 2 3 Year (starting with 1991) 4 5

Goats info Feral goats are known because of their big appetite and because, they eat everything They are devastating for some sectors, and in many plagues, they are considered plagues. Many people have to search for a harsher way of dealing with them, for example hunting, poisoning, tracking, etc.

Math lab-Growth What is the exponential growth of Freral goats in Galapagos Used initial and final number of goats in Pinta (3 in 1959 and 20, 000 in 1971) Created a table with those values Approximated a growth factor (with calculator) for the 12 years (2. 083) Filled the table by multiplying each value by the gf to get the next value Used initial amount and gf to write the equation

Lab- growth Population of Goats in Pinta Island # of Year 0 1 2 3 4 5 6 7 8 9 10 11 # of Goats 3 6 13 27 56 117 245 510 1063 2214 4613 9609 1971 12 20000 25000 G=3(2. 083 t) g is the number of goats t is the time in years 20000 # of Goats Year 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 Population of Goats in Pinta Island 15000 10000 5000 0 0 5 10 Years 15

Conclusion As a conclusion we have realized that if we continue growing down this exponential decay path , the condor could be extinct in a few decades in fact in five years from now there are only going to be 36 condors P=200(. 715)= 36 This all means that by the year 2020 there could only be 36 condors left in Ecuador