Chapter 1.1, Problem 52E

Quit Ratio In industry, the relationship between wages and the quit ratio of employees is defined to be the percentage of employees that quit within $1$ year of employment. The quit ratio of a large restaurant chain that paid its employees the minimum hourly wage ( $\$7.25$

per hour) was $.2$ or $20$

employees per $100$. When the company raised the hourly wage to $\$8$, the quit ratio dropped to $.18$, or $18$ employees per $100$.

Assuming a linear relationship between the quit ratio $Q\left(x\right)$

and the hourly wage $x$, find an expression for $Q\left(x\right)$.

What should the hourly wage be for the quit ratio to drop to $10$ employees per $100$?