Question

Officials project that between 201020102010 and 205020502050, the population of a certain city will drastically change. The model below gives the projection of the city's population , PPP, in thousands, with respect to time, ttt, in years, where 201020102010 corresponds to t=0t=0t, equals, 0. \quad P = 175 + \dfrac{11}{2}tP=175+ 2 11 ​ tP, equals, 175, plus, start fraction, 11, divided by, 2, end fraction, t What does the 175175175 mean in the equation?

Answer 1

175 means the city's population is 175 thousands in 2010.

Explanation:

The model below gives the projection of the city's population , P, in thousands, with respect to time, t, in years, where 2010 corresponds to t=0.

The given equation is

`P=175+(11)/(2)t`

We need to interpret 175 for the given model.

Substitute t=0 in the above equation.

`P=175+(11)/(2)(0)`

`P=175`

At t=0 the value of P is 175 it means the city's population is 175 thousands in 2010.