2 a worker is packing items in boxes. the table shows the linear relationship between the number of items…

2 a worker is packing items in boxes. the table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time. items packed in boxes number of minutes number of items packed 5 20 7 28 11 44 14 56 which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes? f the worker packed 8 items in boxes per minute. g the worker packed 37 items in boxes per minute. h the worker packed 4 items in boxes per minute. j the worker packed 15 items in boxes per minute.

2 a worker is packing items in boxes. the table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time. items packed in boxes number of minutes number of items packed 5 20 7 28 11 44 14 56 which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes? f the worker packed 8 items in boxes per minute. g the worker packed 37 items in boxes per minute. h the worker packed 4 items in boxes per minute. j the worker packed 15 items in boxes per minute.

Answer

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) $m$ of a linear relationship is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $x$ be the number of minutes and $y$ be the number of items packed.

Step2: Choose two points

Let's take the points $(5,20)$ and $(7,28)$.

Step3: Calculate the rate of change

$m=\frac{28 - 20}{7 - 5}=\frac{8}{2}=4$.

Answer:

H. The worker packed 4 items in boxes per minute.