In 2000, there were 39.8 million Americans without health insurance. This number has increased at an average rate of 1.7 million people per year. Determine when the number of Americans without health insurance will exceed the number in 2002, which was 43.4 million, by 9.8 million.

The time will be the year 2007 in October. { After 5 years and 10 month since 2002}

Step-by-step explanation:

The number of Americans without health insurance in 2000 was 39.8 million.

The rate of increase is averaged at 1.7 million people per year.

The number in 2002 is : 43.4 million.

The year to calculate should exceed the number in 2002 by 9.8 million.

This means the number in that x year should be : 43.4 + 9.8 =53.2 million

The formula for the number of people without insurance cover after x years from 2002 is given by the equation below;

No. = 43.4 + 1.7 x where x is the number of years from the year 2002

53.2 = 43.4 + 1.7 x solve for x as

53.2-43.4 = 1.7x

9.8 = 1.7 x

9.8/1.7 = 1.7/1.7 x

5.765 = x

x = 5.8 years approximately to one decimal place

So from 2002 you add 5.8 years. This means after 5 years and 10 months from 2002 when the number was 43.4 million, the number of people will have increase by 9.8 to reach 53.2 million people.