Q. 101 - Precalculus Enhanced with Graphing Utilities

Question

Health Care Suppose that $P\left(x\right)$ represents the percentage of income spent on health care in year $x$ and $I\left(x\right)$ represents income in year $x$. Determine a function $H$ that represents total health care expenditures in year $x$.

Step-by-Step Solution

Answer

A function $H$ that represents total health care expenditures in year $x$ is $H\left(x\right)=P\left(x\right)·I\left(x\right)$

Step 1. Given Information

Health Care Suppose that $P\left(x\right)$ represents the percentage of income spent on health care in year $x$ and $I\left(x\right)$ represents income in year $x$. Determine a function $H$ that represents total health care expenditures in year $x$.

Step 2. P ( x ) represents the percentage of income spent on health care in year x .

$I\left(x\right)$ represents income in year $x$.

A function $H$ that represents total health care expenditures in year $x$.

$H\left(x\right)=P\left(x\right)·I\left(x\right)$