Question

. The graph shows the weight of different lengths of copper cable. How many pounds per foot does the

cable weigh?

55

50

45

40

35

30

25

20

15

10

5

0

10 20 30 40 50 60 70 80 90100

Answer 1

To determine the weight of the copper cable in pounds per foot, we need to observe the graph and identify the weight at various lengths of the cable. Since the actual graph is not provided, I will explain the process based on typical data representations.

1. **Identify Data Points**: Look for points on the graph where the length of copper cable corresponds to its weight. For example, if the graph indicates that a 10-foot cable weighs 20 pounds and a 20-foot cable weighs 40 pounds, we will use these points for calculations.

2. **Calculate Weight Per Foot**: To find the weight per foot, you can take the weight of the cable and divide it by its length. From the previous example:
- For a 10-foot cable weighing 20 pounds:
\[
\text{Weight per foot} = \frac{20 \text{ pounds}}{10 \text{ feet}} = 2 \text{ pounds/foot}
\]
- For a 20-foot cable weighing 40 pounds:
\[
\text{Weight per foot} = \frac{40 \text{ pounds}}{20 \text{ feet}} = 2 \text{ pounds/foot}
\]

This shows that the cable weighs consistently at 2 pounds per foot across different lengths.

If you have the actual data points from the graph, use similar calculations with those specific weights and lengths to arrive at the weight per foot. You could also check if the weight per length remains constant or if it varies.