Solve the problem.
-In 1985, in the town of Appleby, 19.4% of Hispanics were overweight, increasing by an average of 0.41% per year. In 1985, in the town of Appleby, 0.15% of whites were overweight, increasing by an average of 32.0% per Year. If these trends continue, in which year will the percentage of Hispanics who are overweight be the same As the percentage of whites who are overweight? Round to the nearest year. What percentage of Hispanics (to The nearest whole percent)will be overweight at that time?
A)1984; 19%
B)1988; 20%
C)1982; 18%
D)1986; 20%

Question

Quizplus · Accepted Answer

In 1985, the percentage of Hispanics who were overweight was 19.4%, and the percentage of whites who were overweight was 0.15%. The percentage of Hispanics who are overweight is increasing by an average of 0.41% per year, and the percentage of whites who are overweight is increasing by an average of 32.0% per year.Let x be the number of years after 1985. Then, the percentage of Hispanics who are overweight in year x is 19.4% + 0.41% * x, and the percentage of whites who are overweight in year x is 0.15% + 32.0% * x.We want to find the value of x for which the percentage of Hispanics who are overweight is the same as the percentage of whites who are overweight. So, we can set the two expressions equal to each other and solve for x:19.4% + 0.41% * x = 0.15% + 32.0% * x0.41% * x - 32.0% * x = 0.15% - 19.4%-31.59% * x = -19.25%x = -19.25% / -31.59%x = 0.61So, the percentage of Hispanics who are overweight will be the same as the percentage of whites who are overweight in year 1985 + 0.61 = 1986.At that time, the percentage of Hispanics who are overweight will be 19.4% + 0.41% * 0.61 = 20%.

Solve the Problem. -In 1985, in the Town of Appleby, 19.4% of Hispanics