Question

1. the population of a town increases by 250 people each year. in 2020, the population was 15,000. write an equation in slope-intercept form to represent the population (y) as a function of the number of years (x) since 2020. then, find the population in the year 2025.

Explanation:

Step1: Identify slope and intercept

Slope $m = 250$ (annual increase), intercept $b = 15000$ (2020 population). Equation: $y = 250x + 15000$.

Step2: Calculate years since 2020 for 2025

$x = 2025 - 2020 = 5$.

Step3: Compute 2025 population

Substitute $x=5$ into equation: $y = 250(5) + 15000 = 1250 + 15000 = 16250$.

Answer:

The equation is $y = 250x + 15000$; the population in 2025 is 16250.