To determine how many meters of pipe Samuel would need to build 10 bike stands, we need to follow these steps:
1. Identify the length of pipe needed for one bike stand:
Samuel uses [tex]\(1 \frac{3}{5}\)[/tex] meters of pipe for one bike stand. Converting this mixed number to an improper fraction:
[tex]\[
1 \frac{3}{5} = 1 + \frac{3}{5}
\][/tex]
Converting this sum to a decimal, we get:
[tex]\[
1 + \frac{3}{5} = 1 + 0.6 = 1.6
\][/tex]
Thus, the length of pipe needed for one bike stand is [tex]\(1.6\)[/tex] meters.
2. Calculate the total length of pipe needed for 10 bike stands:
We need to multiply the length of pipe for one stand by the number of stands to find the total length:
[tex]\[
1.6 \text{ meters/stand} \times 10 \text{ stands} = 16 \text{ meters}
\][/tex]
3. Identify the correct answer from the multiple-choice options:
Let's review the options given:
- [tex]\( A: 11 \frac{3}{5} \text{ meters} \)[/tex] (which is 11.6 meters)
- [tex]\( B: 16 \text{ meters} \)[/tex]
- [tex]\( C: 10 \frac{3}{5} \text{ meters} \)[/tex] (which is 10.6 meters)
- [tex]\( D: 6 \text{ meters} \)[/tex]
From our calculation above, we find that Samuel needs [tex]\(16\)[/tex] meters of pipe.
Therefore, the correct answer is:
[tex]\[ \boxed{B: 16 \text{ meters}} \][/tex]
