Question

An article is bought for $7000 and sold 5 years later for $650. Find the depreciation formula, and the value of the article after 2 years. Let y be the value in dollars, and t be time in years.

Answer 1

@jim_thompson5910

Answer 2

hint: this is a linear equation and it goes through the two points (0,7000) and (5,650)

Answer 3

wait so thats the answer?

Answer 4

its asking find the depreciation formula

Answer 5

and wants me to write it like this y= _t + _

Answer 6

and then the value after 2 years =?

Answer 7

@jim_thompson5910

Answer 8

you have to find the equation first

Answer 9

do you know how to find the equation through 2 points?

Answer 10

nope

Answer 11

is it y= mx+b

Answer 12

what's the slope of the line?

Answer 13

not sure

Answer 14

use the slope formula

m = (y2 - y1)/(x2-x1)

Answer 15

yea but how this isnt a graph or it does not give us coordinates

Answer 16

the two points are (0,7000) and (5,650)

Answer 17

which one is y2

Answer 18

is 0 x1

Answer 19

y2 is the second y coordinate

y2 = 650

Answer 20

whats 5 y1

Answer 21

(6d0-0)

Answer 22

650

Answer 23

wwhats the answer

Answer 24

y1 is 7000

Answer 25

so y2 - y1 = 650 - 7000 = ???

Answer 26

-6350

Answer 27

x2 - x1 = ???

Answer 28

5-0

Answer 29

which equals what

Answer 30

5

Answer 31

Now divide the two differences: -6350/5 = -1270

Answer 32

The slope is -1270

Answer 33

m = -1270

Answer 34

it doesent ask for the slope though

Answer 35

y = mx + b

y = -1270x + b ... plug in m = -1270

7000 = -1270*0 + b ... plug in (x,y) = (0,7000)

solve for b

Answer 36

7000=-1270*0+what

Answer 37

-1270 is this t?

Answer 38

no that's the slope

Answer 39

because its asking y=_t+_

Answer 40

yeah I know

Answer 41

7000 = -1270*0 + b

solve for b

Answer 42

how

Answer 43

is it 7000/-1270

Answer 44

-1270*0 = ??

Answer 45

o

Answer 46

7000 = -1270*0 + b

7000 = 0 + b

b = ??

Answer 47

0

Answer 48

no

Answer 49

-1270?

Answer 50

0 + b turns into b since adding 0 to some number doesn't change it

Answer 51

make sense?

Answer 52

ok so whats b

Answer 53

7000 = 0 + b

you tell me

Answer 54

7000

Answer 55

good

Answer 56

m = -1270
b = 7000

Answer 57

y = mx + b

y = -1270x + 7000

y = -1270t + 7000

Answer 58

so then we solve to get after 2 years?

Answer 59

plug in t = 2 and evaluate

Answer 60

so -1270 times 2 +7000= price after 2 years

Answer 61

yes

Answer 62

4,460?

Answer 63

yes

Answer 64

thanks for explaining it actually now im kinda getting it :)

Answer 65

you're welcome