Amedical clinic is reducing the number of incoming patients by giving vaccines before flu season. during week 5 of flu season, the clinic saw 75 patients. in week 10 of flu season, the clinic saw 50 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) = 5x + 100
b) f(x) = −5x + 100
c) f(x) = 25x + 75
d) f(x) = −25x + 75

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.