The percentage of obese children aged 1219 years in the Unit

The percentage of obese children aged 12-19 years in the United States is approximately

P(t) =

where t is measured in years, with t = 0 corresponding to the beginning of 1970. What was the percentage of obese children aged 12-19 at the beginning of 1970? At the beginning of 1984? At the beginning of 2000?† (Round your answers to two decimal places.)

Solution

At 1970

P(t) = 0.04t+4.6

P(0) = 4.6%

At 1984

P(t) = -0.01005t^2+0.945t-3.4

P(14) = -0.01005*14*14+0.945*14-3.4

P(14) = 7.86%

At 2000

P(t) = -0.01005t^2+0.945t-3.4

P(30) = -0.01005*30*30+0.945*30-3.4

P(30) = 15.91%