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, 2.
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.
Batches, z
Raspberries Left in Bucket (cups), y
1
16
4
10
7
4
X
X
7
8 9X
4 5
6
1
2
3
0
(-)
y = mx + b
y= x+b

Answer 1

The slope is m = −2, so substitute into y = mx + b to get y = −2x + b. Use a table point (for example x = 1, y = 16):

16 = −2(1) + b → b = 18.

So the linear model is y = −2x + 18. (When x = 0 there are 18 cups.)