Question

iris picked a bucket of raspberries to make jam. the table shows the cups of raspberries left in the bucket, y, as a function of the number of batches of jam she makes, x. the rate of change is -2. it represents a decrease in the amount of raspberries in the bucket for each batch iris makes. the initial value is 18. iris picked 18 cups of raspberries. write an equation to represent the cups of raspberries left in the bucket, y.

Explanation:

Step1: Recall linear - equation form

The slope - intercept 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).

Step2: Identify values of $m$ and $b$

Given that the rate of change $m=-2$ and the initial value $b = 18$.

Step3: Write the equation

Substitute $m$ and $b$ into the slope - intercept form: $y=-2x + 18$.

Answer:

$y=-2x + 18$