Question

the speed, s, of the current in a certain whirlpool is modeled by s = 300/d, where d is the distance from the center of the whirlpool. which statement is true? as you move closer to the center of the whirlpool, the speed of the current approaches 0. as you move closer to the center of the whirlpool, the speed of the current approaches 1. as you move closer to the center of the whirlpool, the speed of the current approaches infinity.

Explanation:

Step1: Analyze the speed - distance formula

We have the formula \(s=\frac{300}{d}\), where \(s\) is the speed and \(d\) is the distance from the center of the whirlpool.

Step2: Consider the limit as \(d\) approaches 0

As \(d\) (the distance from the center) gets smaller and smaller (i.e., we move closer to the center of the whirlpool), the value of \(\frac{300}{d}\) gets larger and larger. Mathematically, \(\lim_{d
ightarrow0}\frac{300}{d}=\infty\).

Answer:

As you move closer to the center of the whirlpool, the speed of the current approaches infinity.