A city had population 67,255 on January 1, 2000, and its population has been increasing by 2935 people each year since then. A linear model for the population P, where t is in years after 2000, is
Responses
P(t) = 67255 + 2935t
P(t) = 67255 + 2935t ,
P(t) = 67255t.
P(t) = 67255t. ,
P(t) = 2935 + 67255t.
P(t) = 2935 + 67255t.
P(t) = 2935t.
The correct answer is P(t) = 67255 + 2935t.
The correct linear model for the population, where t is in years after 2000, is: P(t) = 67255 + 2935t.
The correct linear model for the population P, where t is in years after 2000, is:
P(t) = 67255 + 2935t
This equation represents the population at time t, where t is the number of years after 2000. The initial population on January 1, 2000, is given as 67,255. The population increases by 2935 people each year thereafter. By multiplying the number of years t by the growth rate of 2935, we can determine the additional number of people added to the initial population.
Therefore, to find the population at a specific year, you can plug in the number of years after 2000 in place of t in the equation and solve for P(t).