Question

the equation d = 13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. what happens to the density as the volume approaches 0? the density approaches infinity. the density approaches 0.

Explanation:

Step1: Recall density formula

The density formula is $D=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Here $m = 13$ grams and $D=\frac{13}{V}$.

Step2: Analyze volume approaching 0

As $V
ightarrow0$, we consider the limit of the function $D(V)=\frac{13}{V}$. According to the rules of limits, when the denominator of a non - zero constant divided by a variable approaches 0, the value of the fraction approaches infinity. Mathematically, $\lim_{V
ightarrow0}\frac{13}{V}=\infty$.

Answer:

The density approaches infinity.