MATH SOLVE

4 months ago

Q:
# A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week. a. f(x) = - 4x + 60. b. f(x) = 4x + 60. c. f(x) = - 4x + 80. d. f(x) = 4x + 80

Accepted Solution

A:

Answer:f(x) = -4x + 80Step-by-step explanation:You are given two points,(5, 60) and (10, 40)in order to get the equation, let's use the form slope-intercept formm = (y1 - y2) / (x1 - x2)m = (60 - 40) / (5 - 10)m = 20/-5m = -4Get the x intercepty = mx + b60 = (-4)(5) + bb = 60+20b = 80so the equation is y = -4x + 80f(x) = -4x + 80