Question

Question 22 A city has a population of people. Suppose that each year the population grows by . What will the population be after years? Use the calculator provided and round your answer to the nearest whole number.

Answer 1

Answer:

911,690.

Step-by-step explanation:

Please consider the complete question.

A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.

We will use exponential growth formula to solve our given problem.

$y=a\cdot (1+r)^x$, where,

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

$6.75\%=\frac{6.75}{100}=0.0675$

$y=390,000\cdot (1+0.0675)^x$

$y=390,000\cdot (1.0675)^x$

To find the population after 13 years, we will substitute $x=13$ in population growth equation as:

$y=390,000\cdot (1.0675)^{13}$

$y=390,000\cdot 2.3376661492982871$

$y=911689.798226331969$

Upon rounding to nearest whole number, we will get:

$y\approx 911,690$

Therefore, the population of the city after 13 years would be 911,690.