A man retires at age so with 605000 in savings. He spends his savings at a steady rate,and after 6 years of retirement he has spent 300,000 Write an equation for the amount the man has in savings When does he have 100,000 in savings?

## Step 1: Calculate the rate of spending.### The man spent \frac{\ 50,000 S t 605,000. The rate of spending is S = 605000 - 50000t 100,000.### We want to find when . Substitute into the equation: . Solving for : , so . Thus, years.