A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 85 patients. In week 10 of flu season, the clinic saw 65 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic. A.f(x) = 20x + 85 B.f(x) = −20x + 85 C.f(x) = 4x + 105 D.f(x) = −4x + 105

Answer:D.f(x) = −4x + 105D.f(x) = −4x + 105Step-by-step explanation:Since the function in linear, we know it has a slope.We know 2 points(5,85) and (10,65) are 2 points on the linem = (y2-y1)/(x2-x1)   = (65-85)/(10-5)    =-20/5    =-4We know a point and the slope, we can use point slope form to write the equationy-y1 =m(x-x1)y-85 = -4(x-5)Distributey-85 = -4x+20Add 85 to each sidey-85+85 = -4x+20+85y = -4x+105Changing this to function formf(x) =-4x+105