A lush forest has 100 foxes and 2 rabbits. The fox population doubles every year and the rabbit population triples every year. The foxes agree not to hunt the rabbits until they are outnumbered by the rabbits. -Let t be the number of years that pass, and come up with two exponential expressions that model the fox population and rabbit population respectively. -The rabbits will equal (and then shortly outnumber) the foxes midway through some year. Find the value of t such that the two populations are equal, accurate to four decimal places, and the populations of each animal at that time to the nearest whole number.
A lush forest has 100 foxes and 2 rabbits. The fox population doubles every year and the rabbit population triples every year. The foxes agree not to hunt the rabbits until they are outnumbered by the rabbits. -Let t be the number of years that pass, and come up with two exponential expressions that model the fox population and rabbit population respectively. -The rabbits will equal (and then shortly outnumber) the foxes midway through some year. Find the value of t such that the two populations are equal, accurate to four decimal places, and the populations of each animal at that time to the nearest whole number.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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A lush forest has 100 foxes and 2 rabbits. The fox population doubles every year and the rabbit population triples every year. The foxes agree not to hunt the rabbits until they are outnumbered by the rabbits.
-Let t be the number of years that pass, and come up with two exponential expressions that model the fox population and rabbit population respectively.
-The rabbits will equal (and then shortly outnumber) the foxes midway through some year. Find the value of t such that the two populations are equal, accurate to four decimal places, and the populations of each animal at that time to the nearest whole number.
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