After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
d an increase of 8% per year, the population is 34,560. 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.)
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
<em>Initial population: 32,000
</em>
<em>Growth per year: 8%
</em>
<em>Years: x
</em>
So, to obtain "y" (the number of people living in the town after x years), we have to multiply the initial population by 1+ 0.08 (the growth rate is 8%/100=0.08 and the original value) and the number of years (x).
Mathematically speaking:
y = 32,000 (1+0.08) x
y= 32,000 (1.08) x
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
