A high school's graduation rate is defined to be the percentage of the senior class that graduates. Last year 406 of Sagamore High School's 452 seniors graduated. This year the school expects the previous year's graduation rate to increase by approximately 2 percentage points. If there are 436 students in this year's senior class, which of the following best approximates the number of seniors that Sagamore High School expects to graduate this year?

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Calculate Graduation Rate: Calculate last year's graduation rate. Graduation rate = (Number of seniors graduated / Total number of seniors) × 100% Graduation rate = (406 / 452) × 100%Perform Calculation: Perform the calculation for the graduation rate. Graduation rate ≈ (0.8982300884955752) × 100% Graduation rate ≈ 89.82300884955752%Round Graduation Rate: Round the graduation rate to a more manageable number for calculations. Graduation rate ≈ 89.82%Calculate Expected Rate: Calculate the expected graduation rate for this year by adding 2 percentage points. Expected graduation rate this year = Last year's graduation rate + Increase Expected graduation rate this year = 89.82% + 2% Expected graduation rate this year = 91.82%Calculate Expected Graduates: Calculate the expected number of graduates this year using the expected graduation rate. Expected number of graduates = (Expected graduation rate / 100) × Total number of seniors this year Expected number of graduates = (91.82 / 100) × 436Perform Calculation: Perform the calculation for the expected number of graduates. Expected number of graduates ≈ 400.332Round Expected Graduates: Since the number of graduates must be a whole number, round to the nearest whole number. Expected number of graduates ≈ 400

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