Question

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

Answer 1

@agent0smith @ganeshie8 @mathstudent55 @CGGURUMANJUNATH @wio

Answer 2

i believe it would be C

Answer 3

you're given two points :-
(5, 60) and (10, 40)

Answer 4

you need to setup the equation in slope-intercept form :-
y = mx + b

Answer 5

start by finding the slope m first

Answer 6

Well, the slope is positive and the slope is four, correct @ganeshie8 ?

Answer 7

for this quesiton, YOU saying slope is positive is a crime

Answer 8

week 5, they dumped 60
week 10, they dumped 40

Answer 9

clearly, it reduced :o

Answer 10

Oops...sorry. So, negative?

Answer 11

(5, 60) and (10, 40)
x1 y1 x2 y2


slope = \(\large \frac{y_2-y_1}{x_2-x_1}\)

Answer 12

slope = \(\large \frac{40-60}{10-5}\)

= \(\large \frac{-20}{5}\)

= \(\large -4\)

Answer 13

Okay. So, what would I do next to solve this problem?

Answer 14

substitute m value in above equation

y = mx + b

y = -4x + b

Answer 15

you still need to find b

Answer 16

use this :-
the line goes thru (5, 60)

Answer 17

so it has to satisfy this point

Answer 18

y = -4x + b

60 = -4(5) + b

solve b

Answer 19

\[60=-4(5)+b\]\[60=-20+b\]\[60-(-20)=b\]\[80=b\]

Answer 20

Yes !

so the equation wud be ?

Answer 21

c. f(x) = - 4x + 80

Answer 22

\(\large \color{red}{\checkmark}\)

Answer 23

Thank you so much.

Answer 24

np :)

Answer 25

After getting 50/100 on the test two times, I got a 100%!

Answer 26

you deserve 100% congrats =))

Answer 27

I meant 90% Im sorry, but still a good grade. ;D

Answer 28

next time aim for 100% lol