Question

74. Real-World Applications

A town's population has been growing linearly. In 2003, the population was 45,000, and the population has been growing by 1,700 people each year. Write an equation, P(t), for the population t years after 2003 .

Answer 1

The linear equation modeling the given function is P(t)=1700t+45000.

Explanation:

In the question it is given that a town's population has been growing linearly. In 2003, the population was 45000, and the population has been growing by 1700 people each year.

It is required to write an equation P(t), for the population t years after 2003.

To solve this question, substitute the given slope , or change in population in the equation with the initial population . Thus, formulate the equation modeling the given function.

Step 1 of 1

Formulate the equation in the slope-intercept form.

`$$\begin{aligned}&y=m x+b \\&P(t)=1700 t+45000\end{aligned}$$`