two interior decorating teams are competing in a kitchen remodel competition. their remodels are graded on…

two interior decorating teams are competing in a kitchen remodel competition. their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. whoever has the largest final score wins $150,000. suppose team a received 15 points for time to complete, 9 points for design, and 14 points for total cost. suppose team b received 17 points for time to complete, 7 points for design, and 13 points for total cost. using technology, determine which team won the competition. team a won by 1.9 points. team a won by 1.1 points. team b won by 1.9 points. team b won by 1.1 points.

two interior decorating teams are competing in a kitchen remodel competition. their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. whoever has the largest final score wins $150,000. suppose team a received 15 points for time to complete, 9 points for design, and 14 points for total cost. suppose team b received 17 points for time to complete, 7 points for design, and 13 points for total cost. using technology, determine which team won the competition. team a won by 1.9 points. team a won by 1.1 points. team b won by 1.9 points. team b won by 1.1 points.

Answer

Explanation:

Step1: Calculate Team A's final score

Final score = (Time score * 0.75)+(Design score * 0.15)+(Cost score * 0.10). Team A: $(15\times0.75)+(9\times0.15)+(14\times0.10)=11.25 + 1.35+1.4 = 14$

Step2: Calculate Team B's final score

Team B: $(17\times0.75)+(7\times0.15)+(13\times0.10)=12.75+1.05 + 1.3=15.1$

Step3: Find the score - difference

Score - difference = Team B's score - Team A's score. $15.1−14 = 1.1$

Answer:

Team B won by 1.1 points.