Help make an equation

Question

Between 2008 and 2022, the number of euthanized animals went from 90,000 to 25,000. Based on the number of animals impounded staying around approx. 250k and euthanizations going down, what would the number of euthanizations look like in 2025?

How do I make this into an equation to solve?

Answer 1

The number of euthanized animals dropped by 65,000 over a period of 14 years. That's approximately 4,643 per year. As the base of impounded animals is assumed to be relatively constant, you can use that rate to project the figures for the next 3 years. This assumes a linear function where the drop is constant in each year.

The equation would be in the form y = mx + b or y = -4643x + 90000 where the slope (m) is -4643 and x is the number of years since 2008.

Use this to project to 2025.

Answer 2

Start with two-point form

(y - 90000) / (x - 2008) = (25000 - 90000) / (2022 - 2008),

Convert to slope-intercept form and determine y when x = 2025

Answer 3