To determine which statement is true, let's analyze the given model mathematically.
The speed, [tex]\( s \)[/tex], of the current in the whirlpool is given by the equation:
[tex]\[ s = \frac{300}{d} \][/tex]
where [tex]\( d \)[/tex] is the distance from the center.
We need to understand the behavior of the speed [tex]\( s \)[/tex] as [tex]\( d \)[/tex] gets closer to 0 (which means approaching the center of the whirlpool).
### Step-by-Step Analysis:
1. Model Interpretation:
- The equation [tex]\( s = \frac{300}{d} \)[/tex] suggests that the speed [tex]\( s \)[/tex] is inversely proportional to the distance [tex]\( d \)[/tex]. As [tex]\( d \)[/tex] decreases, [tex]\( s \)[/tex] increases.
2. Behavior as [tex]\( d \to 0 \)[/tex]:
- If we let [tex]\( d \)[/tex] approach 0, the denominator of the fraction [tex]\( \frac{300}{d} \)[/tex] gets smaller and smaller.
- Mathematically, if [tex]\( d \)[/tex] is very close to 0 (say [tex]\( d = 0.0001 \)[/tex]), then:
[tex]\[ s = \frac{300}{0.0001} = 3000000 \][/tex]
3. Infinity Concept:
- As [tex]\( d \)[/tex] gets closer to 0, the value of [tex]\( \frac{300}{d} \)[/tex] increases without bound, theoretically approaching infinity.
### Conclusion:
By analyzing the given model and understanding the mathematical approach, we determine that as you move closer to the center of the whirlpool (i.e., as [tex]\( d \to 0 \)[/tex]), the speed [tex]\( s \)[/tex] of the current increases without bound.
Therefore, the correct and true statement is:
As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
