A school system is reducing the amount of dumpster loads of tosh 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 the equation in function form to show the amount of trash removed each week

Question

Erika Chung

Mathematics

23 August, 19:32

A school system is reducing the amount of dumpster loads of tosh 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 the equation in function form to show the amount of trash removed each week

+1

Answers (1)

Know the Answer?

Denzel Villanueva · Answer 1

(5,60) (10,40)

slope = (40 - 60) / (10 - 5) = - 20/5 = - 4

y = mx + b

slope (m) = - 4

(5,60) ... x = 5 and y = 60

now we sub and find b, the y int

60 = - 4 (5) + b

60 = - 20 + b

60 + 20 = b

80 = b

equation is : y = - 4x + 80

function form : f (x) = - 4x + 80 ... where x = number of weeks and f (x) = loads of waste removed