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. first, substitute the rate of change into the equation. y = mx + b y = x + b | batches, x | raspberries left in bucket (cups), y | | 1 | 16 | | 4 | 10 | | 7 | 4 |

Explanation:

Step1: Identify the rate of change

The rate of change (slope \( m \)) is given as -2. In the linear equation \( y = mx + b \), \( m \) is the slope.

Step2: Substitute the slope into the equation

Substitute \( m = -2 \) into \( y = mx + b \), we get \( y = -2x + b \).

Answer:

-2