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.
a) the rate of change is -2. it represents a decrease in the amount of raspberries in the bucket for each batch iris makes.
b) now solve for b to find the initial value.
y = mx + b
y = -2x + b
16 = -2(1) + b
\boxed{} = b

batches, x	raspberries left in bucket (cups), y
4	10
7	4

Explanation:

Step1: Simplify the equation

We have the equation \(16 = -2(1)+b\). First, calculate \(-2(1)\), which is \(-2\). So the equation becomes \(16=-2 + b\).

Step2: Solve for \(b\)

To isolate \(b\), we add \(2\) to both sides of the equation. \(16 + 2=-2 + b+ 2\). This simplifies to \(18 = b\).

Answer:

\(18\)