Question

logan has an automatic hummingbird feeder in his backyard. he fills it to its capacity, 10 fluid ounces. each day, it releases 1 fluid ounce of nectar. write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since logan filled it, x. y =

Explanation:

Step1: Identify initial amount

The initial amount of nectar is 10 fluid ounces.

Step2: Identify rate of change

The feeder releases 1 fluid - ounce per day, so the amount of nectar decreases by 1 fluid - ounce per day. The rate of change is - 1 (negative because the amount is decreasing).

Step3: Write the linear - equation formula

The general form of a linear equation is $y=mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (initial value). Here, $m=-1$ and $b = 10$.
So the equation is $y=10 - 1x$ or simply $y = 10-x$.

Answer:

$10 - x$