Question

reid just got a pet feeder for his cats and filled it with 8 cups of food. the feeder will dispense 1 cup of food each day. write an equation that shows how the number of cups remaining, y, depends on the number of days the pet feeder has been used, x.

Explanation:

Step1: Identify initial amount and rate

The feeder starts with 8 cups of food (initial amount) and dispenses 1 cup per day (rate of decrease).

Step2: Write linear - equation formula

The general form of a linear equation for a decreasing quantity is $y = \text{initial amount}-\text{rate}\times x$. Here, the initial amount is 8 and the rate is 1. So the equation is $y=8 - 1\times x$.

Answer:

$y = 8 - x$