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. is the rate of change positive or negative? negative find and describe the rate of change of the function. the rate of change is. it represents in the amount of raspberries in the bucket for each batch iris makes. batches, x raspberries left in bucket (cups), y 1 16 4 10 7 4

Explanation:

Step1: Recall rate - of - change formula

The rate of change formula for a function $y = f(x)$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take the points $(1,16)$ and $(4,10)$.

Step2: Substitute values into the formula

Here, $x_1 = 1,y_1 = 16,x_2 = 4,y_2 = 10$. Then $m=\frac{10 - 16}{4 - 1}=\frac{-6}{3}=- 2$.

Step3: Interpret the rate of change

The rate of change of - 2 represents a decrease in the amount of raspberries in the bucket for each batch Iris makes.

Answer:

-2; decrease