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baherus [9]
3 years ago
7

The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form

ttps://tex.z-dn.net/?f=y%3Dab%5E%7Bx%7D" id="TexFormula1" title="y=ab^{x}" alt="y=ab^{x}" align="absmiddle" class="latex-formula"> that represents the situation
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer: Exponential function: y=12000(1.05)^x

Step-by-step explanation:

Exponential function: y=ab^x , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

y=12000(1.05)^x

Hence, The required exponential function: y=12000(1.05)^x, where x= time.

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