The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x
y = 32,000(0.08)x
y = 31,795(1.08)x
y = 31,795(0.08)x

Question

The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x
y = 32,000(0.08)x
y = 31,795(1.08)x
y = 31,795(0.08)x

Vocaloid · Answer

first figure out what the exponential growth factor is  by dividing the year 2 population/year 1 population

then divide year 1 population/the growth factor to find the year 0 population

after that it is simply

y = year 0 population * (growth factor)^x

Vocaloid · Answer

still there?

nancyfelipe1 · Answer

yea thx

Vocaloid · Answer

are you having some trouble with the calculations? I am happy to clarify if something was unclear

nancyfelipe1 · Answer

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x
g(x) = 5x

Which statements could he include in his explanation? Check all that apply.

The domain of both functions is all real numbers. 
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of both functions is y > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0