Question

The quadratic function f(x) = - 45x ^ 2 + 350x + 1.590mo models the population of a city, where x is the number of years after 2005 and f(x) the population of the city in thousands of people. What the estimated population of the city in 2015?

Answer 1

Population in year 2015 is 590 thousand people.

Explanation:

Quadratic function that represents the population is

f(x) = -45x² + 350x + 1590

Here x = number of years after 2005

f(x) = Population of the city (in thousands)

We have to calculate the population of the city in year 2015.

So, duration or number of years from year 2005 = 2015 - 2005 = 10 years

Now we plug in the value x = 10 in the formula

f(10) = -45(10)² + 350(10) + 1590

= -4500 + 3500 + 1590

= 590 thousand people

Therefore, population in year 2015 is 590 thousand people.