This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The formula for attack rate is: Attack Rate = Number of people who got sick after eating a specific food itemTotal number of people who ate that specific food item × k where k is the given constant. In this case, k = 250. Given data: People who ate rice = 109 People who ate swallow = 111 People who ate beans porridge = 30 People who ate rice and had diarrhea = 12 People who ate swallow and had diarrhea = 17 People who ate beans and had diarrhea = 7 Constant k = 250 Step 1: Calculate the attack rate for Rice. Attack Rate (Rice) = People who ate rice and had diarrheaPeople who ate rice × k Attack Rate (Rice) = (12)/(109) × 250 Attack Rate (Rice) = (3000)/(109) Attack Rate (Rice) ≈ 27.5229 Rounding to two decimal places: Attack Rate (Rice) ≈ 27.52 The attack rate for rice is 27.52. Step 2: Calculate the attack rate for Swallow. Attack Rate (Swallow) = People who ate swallow and had diarrheaPeople who ate swallow × k Attack Rate (Swallow) = (17)/(111) × 250 Attack Rate (Swallow) = (4250)/(111) Attack Rate (Swallow) ≈ 38.2883 Rounding to two decimal places: Attack Rate (Swallow) ≈ 38.29 The attack rate for swallow is 38.29. Step 3: Calculate the attack rate for Beans Porridge. Attack Rate (Beans Porridge) = People who ate beans and had diarrheaPeople who ate beans × k Attack Rate (Beans Porridge) = (7)/(30) × 250 Attack Rate (Beans Porridge) = (1750)/(30) Attack Rate (Beans Porridge) ≈ 58.3333 Rounding to two decimal places: Attack Rate (Beans Porridge) ≈ 58.33 The attack rate for beans porridge is 58.33. That's 2 down. 3 left today — send the next one.