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Mazyrski [523]
2 years ago
6

A population of 510,000 toads is expected to shrink at a rate of 6.2% per year. Which is the best prediction for the toad popula

tion in 18 years?
a. 478,380
b. 316,200
c. 161,147
d. 86,108
Mathematics
2 answers:
Assoli18 [71]2 years ago
5 0

Answer:  c. 161,147

Step-by-step explanation:

The exponential decay function with rate of decay r in x years is given by :-

y=A(1-r)^x, where A is the initial population.

Given : Initial population of toads= 510,000

The rate of decay = 6.2%= 0.062

The population of toads after 18 years is given by :-

y=510,000(1-0.062)^{18}\\\\=510,000(0.938)^{18}\\\\=161,146.644552\approx161,147

Hence, the best prediction for the toad population in 18 years is 161,147.

Colt1911 [192]2 years ago
4 0
P=510,000×(1−0.062)^(18)
P=161,147
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