Representing with a linear model

The population of a town has grown by an average of 2,000 people per year over the last 10 years. Which equation could represent an appropriate linear model
of the population?
​A.) y = 25,000x + 2,000
​B.) y = 2,000x + 25,000
​C.) y = -25,000x + 2,000
​D.) y = -2,000x + 25,000

---

In slope-intercept form, y = mx + b​:
m is the slope or rate of change
b is the y-intercept or, in this case, the starting amount

If the town is growing by an average of 2,000 people per year, then 2,000 is the rate of change.
x is the number of years
Based on the answer choices, it appears the starting amount is 25,000

B.) 2,000x + 25,000

Ask Algebra House