Solve Problems Using Systems of Linear Equations
-In 1985, in the town of Appleby, $20.3 \%$ of Hispanics were overweight, increasing by an average of $0.43 \%$ per year. In 1985, in the town of Appleby, $0.18 \%$ of whites were overweight, increasing by an average of $31.6 \%$ 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) $1986 ; 21 \%$
B) $1988 ; 21 \%$
C) $1984 ; 20 \%$
D) $1982 ; 19 \%$

Question

Quizplus · Accepted Answer

In 1985, the percentage of Hispanics who were overweight was 20.3%, and it increased by 0.43% per year. So, the equation for the percentage of Hispanics who are overweight is:```H = 20.3 + 0.43y```where y is the number of years since 1985.In 1985, the percentage of whites who were overweight was 0.18%, and it increased by 31.6% per year. So, the equation for the percentage of whites who are overweight is:```W = 0.18 + 0.316y```To find the year when the percentage of Hispanics who are overweight will be the same as the percentage of whites who are overweight, we set the two equations equal to each other and solve for y:```20.3 + 0.43y = 0.18 + 0.316y0.12y = 20.12y = 167.67```Rounding to the nearest year, the year when the percentage of Hispanics who are overweight will be the same as the percentage of whites who are overweight is 168.To find the percentage of Hispanics who will be overweight at that time, we plug y = 168 into the equation for H:```H = 20.3 + 0.43(168)H = 100.1```Rounding to the nearest whole percent, the percentage of Hispanics who will be overweight at that time is 100%.

Solve Problems Using Systems of Linear Equations -In 1985, in the Town

Solve Problems Using Systems of Linear Equations
-In 1985, in the Town