Question

73. Real-World Applications

A city's population in the year 1960 was 287,500 . In 1989 the population was 275,900 . Compute the rate of growth of the population and make a statement about the population rate of change in people per year.

Answer 1

The rate of growth of the population is -400, this means the growth of the population from year 1960 to 1989 has dropped by 400 per city.

Explanation:

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

It is required to compute the rate of growth of population and make a statement about the population rate of 1989 with the year 1989 and the time taken to change the population.

Step 1 of 1

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

To find the rate of growth of population and make a statement about the population rate of change in people per year.

Now let f(x) be the number of population and x be the year and use formula of rate of change to find the change in population,

`$m=(f\left(x_(2)\right)-f\left(x_(1)\right))/(x_(2)-x_(1))$`

Now substitute, 275900 for
`$f\left(x_(2)\right)`, 287500 for then,

`$$\begin{aligned}m &=(275900-287500)/(1989-1960) \\&=(-11600)/(29) \\&=-400\end{aligned}$$`

The rate of growth of population -400, so there is a drop in the population by 400 per city.