The population of a town can be represented by the formula P (t) = 541 + 350, where P(t) represents the population, in thousands, and t represents the time, in
years, since 1970 (note: t = 0 for 1970).
A) what are t values when it is 1985 and 1990. B) what is p(t), when t=25? Explain the meaning in words.

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2020-03-11T06:27:04+01:00

Answer:

part A) see the explanation

part B) The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Step-by-step explanation:

The correct equation is

[tex]P(t)=54t+350[/tex]

Part A) what are t values when it is 1985 and 1990.

we have

[tex]P(t)=54t+350[/tex]

This is the linear equation in slope intercept form

[tex]m=54\\b=350[/tex]

where

P(t) ----> is the population, in thousands

t ----> the time, in years, since 1970

Remember that

t = 0 for 1970

so

For the year 1985

[tex]t=1985-1970=15\ years[/tex]

For the year 1990

[tex]t=1990-1970=205\ years[/tex]

Part B) what is p(t), when t=25?

For t=25 years

substitute the value of t in the linear equation

[tex]P(t)=54(25)+350=1,700[/tex]

Remember that the population is in thousands

That means

The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)