Q. 100 - Precalculus Enhanced with Graphing Utilities

Question

Crimes Suppose that $V\left(x\right)$ represents the number of violent crimes committed in year x and $P\left(x\right)$ represents the number of property crimes committed in year x. Determine a function $T$ that represents the combined total of violent crimes and property crimes in year x.

Step-by-Step Solution

Answer

A function $T$ that represents the combined total of violent crimes and property crimes in year $x$ is $T\left(x\right)=\frac{V\left(x\right)}{P\left(x\right)}$.

Step 1. Given Information

Crimes Suppose that $V\left(x\right)$ represents the number of violent crimes committed in year $x$ and $P\left(x\right)$ represents the number of property crimes committed in year $x$. Determine a function $T$ that represents the combined total of violent crimes and property crimes in year $x$.

Step 2. V ( x ) represents the number of violent crimes committed in year x .

$P\left(x\right)$ represents the number of property crimes committed in year $x$.

A function that represents the participation rate $R$ as a function of $x$.

$T\left(x\right)=\frac{V\left(x\right)}{P\left(x\right)}$