Question

The population of a city can be modeled with a linear equation, y = –80x + 3,450, where x is the number of years after 2000 and y is the city’s population. Write a description of the city’s population based on the equation.

Answer 1

The y-intercept indicates the population in the year 2000, so 3,450 people lived in the city in 2000. The negative slope indicates that the city is losing population. It loses 80 people each year.

Explanation:

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Answer 2

Initial population is 3450 in the year 2000 and it decreases 80 every year.

Explanation:

We are given with y=-80x+3450 where y is city's population and x is the number of years after 2000.

That is x=0 means the year 2000.

Hence y-intercept will represent the initial population which is nothing but 3450.

Since our equation slope =-80 which is negative means y is decreasing as x increases.

For x raises by 1, y decreases by 80.

That means population decreases by 80 for every year.