Question

A small business purchases a
piece of equipment for $875. After 5 years the equipment will be outdated, having no value.

(a) Write a linear equation giving the value of the equipment y in terms of the time
(b) Find the value of the equipment when X=2
(c) Estimate (to two-decimal-place accuracy) the time when the value of the equipment is $200.

Answer 1

y=at+875
0=5a+875

Answer 2

where did A come from?

Answer 3

-5a=875
y=-175x+875

Answer 4

y=mx+b
I am trying to find m(or slope)

Answer 5

\[f(x)=-175x+875\]

Answer 6

waaah why is it +875?

Answer 7

y(0) = 875
y(5) = 0
equipment loses value at rate of 875/5 = 175 per year

a) y(t) = 875 - (875/5)t
y(t) = 875 - 175t

b) y(2) = 875 - 175(2) = 875-350 = 525

c) y(t) = 200 = 875-175(t)
t = (200-875)/(-175) = 675/175 = 3.86 years.

Answer 8

because you start with 875

Answer 9

f(x)=-175(0)+875 =875

Answer 10

the equipment was bought at 875 it went down to 0..

Answer 11

tbh i wil never b good at word problems i cant make sense of the words correctly.

Answer 12

its like you added information thats not there.. nothingg hints to adding 875 to 875/5..

Answer 13

its like you added information thats not there.. nothingg hints to adding 875 to 875/5..

Answer 14

Dude, the thing was bought for $875 at time 0, and costs $0 at time 5. You can write this as two ordered pairs:
\[(0, 875)\]\[(5,0)\]You can then find the slope in between those two points:
\[m=\frac{0-875}{5-0}=\frac{-875}{5}=-175\]Then you can use the point-slope formula to finish it up:
\[y-y_{0}=m(x-x_{0})\]\[y-875=-175(x-0)\]\[y=-175x+875\]Is that clearer?

Answer 15

You then use this formula the way lalaly did in her post above to figure out the answers for b and c.