Final answer:
To determine the possible lengths of ribbon Rachel can use for each bow, we need to consider the factors. A bow typically requires a certain length of ribbon to tie a knot, create loops, and leave some extra for trimming. Rachel can use any length of ribbon greater than 0 and less than or equal to 100 for each bow.
Step-by-step explanation:
To determine the possible lengths of ribbon Rachel can use for each bow, we need to consider the factors. A bow typically requires a certain length of ribbon to tie a knot, create loops, and leave some extra for trimming. Let's say Rachel uses x yards of ribbon for each bow.
Since Rachel has 100 yards of ribbon, we can set up an inequality: x ≤ 100. She cannot use more than 100 yards of ribbon for a single bow.
However, Rachel will also need a non-zero amount of ribbon for each bow. So, we can also set up the inequality: x > 0. She cannot use zero yards of ribbon for a bow.
Combining both inequalities, we have: 0 < x ≤ 100. Therefore, the possible lengths of ribbon Rachel can use for each bow range from greater than 0 to less than or equal to 100.