Question

time (minutes) 4.3, 5.8, 24.0, 2.3, 1.7 105.0, 19.0
boxes assembled: 2, 3, 15, 1, 1, 50, 11
for the data set given in the table, estimate the rate of change of a trend line with good fir
A: 0.5 box assembled per minute
B: 0.5 minute per box assembled
C: 5 boxes assembled per minute
D: 5 minutes per box assembled

Answer 1

To estimate the rate of change of the trend line for the provided data, we should look at the ratio of boxes assembled to time in minutes.

### Given Data:
- Time (minutes): 4.3, 5.8, 24.0, 2.3, 1.7, 105.0, 19.0
- Boxes assembled: 2, 3, 15, 1, 1, 50, 11

### Total Boxes Assembled and Total Time:
1. Total boxes assembled = 2 + 3 + 15 + 1 + 1 + 50 + 11 = 83 boxes
2. Total time = 4.3 + 5.8 + 24.0 + 2.3 + 1.7 + 105.0 + 19.0 = 162.1 minutes

### Calculate the Rate of Change:
The rate of change (in boxes assembled per minute) is calculated as follows:

\[
\text{Rate of change} = \frac{\text{Total boxes}}{\text{Total time}} = \frac{83}{162.1} \approx 0.512 \text{ boxes per minute}
\]

This is approximately 0.5 boxes assembled per minute.

### Conclusion:
The answer that best fits our findings is:

**A: 0.5 boxes assembled per minute.**