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1) A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013 the population had reached 258 wolves. Write an equation representing the population N of wolves over time t.

 

2) For her eighth birthday, Shelley’s grandmother gave her a full bag of candy. Shelley counted her candy and found out that there were 160 pieces in the bag. As you might suspect, Shelley loves candy, so she ate half the candy on the first day. Write an equation representing the amount of candy C each day t

 May 10, 2024
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(1)

 

258  =  129 * r^2

 

r^2  =  268 / 129

 

r^2  = 2

 

r  = sqrt 2

 

N = 129 * (sqrt 2)^t        where t is the number of years after 2011

 

(2)

 

C =  160 * (1/2)^t        where t  =  day t

 

cool cool cool

 May 10, 2024

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