SOLUTION: The formula y=2.6sqrtX +9 models the percent of U.S. adults who are considered obese by federal guidelines, where X is the number of years after 1980, and Y is the percent of obese

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The formula y=2.6sqrtX +9 models the percent of U.S. adults who are considered obese by federal guidelines, where X is the number of years after 1980, and Y is the percent of obese      Log On


   



Question 425052: The formula y=2.6sqrtX +9 models the percent of U.S. adults who are considered obese by federal guidelines, where X is the number of years after 1980, and Y is the percent of obese adults. In this equation, Y is already converted from a decimal, so, for example, a 55% obesity rate would correspond to Y=55.
According to this formula, in what year was the obesity rate 15.4 percent?
Answer: In the year
Round to the nearest actual year.

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Set y = 15.4 and solve for x:
15.4+=+2.6%2Asqrt%28x%29+%2B+9
Subtract 9 from RHS, divide by 2.6 and square both sides:
(6.4/2.6)^2 = x = 6.059 years after 1980.
Therefore, the year was 1986.