Final answer:
The equation to determine the remaining birdseed (y) in terms of the number of filled feeders (x) is y = -2x + 50, where the slope is -2 and the y-intercept is 50.
Step-by-step explanation:
To determine how many pounds of seed are remaining (y) in terms of the number of feeders that have been filled (x), we can write a linear equation in slope-intercept form, where the slope represents the rate at which birdseed is used per feeder, and the y-intercept represents the initial quantity of birdseed before any feeders have been filled.
The slope (m) is the amount of birdseed used per feeder, so m = -2 (because 2 pounds of seed are used for each feeder, and the negative sign indicates a decrease in the amount of birdseed remaining).
The y-intercept (b) is the initial amount of birdseed, which is 50 pounds.
Therefore, the equation in slope-intercept form is:
y = -2x + 50
This equation allows us to calculate the remaining birdseed (y) after x number of feeders have been filled.