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

Mathematics

Emilio Galloway

18 January, 17:42

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

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Ralph Ali · 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