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. now solve for b to find the initial value. y = mx + b y = -2x + b 16 = -2(1) + b = b

Explanation:

Step1: Simplify the right - hand side of the equation

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

Step2: Solve for $b$

Add 2 to both sides of the equation $16=-2 + b$. Using the addition property of equality, $16+2=-2 + b+2$. This simplifies to $b = 18$.

Answer:

$18$