A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years while profits increased $7.5 million per year. Draw a Graph of this Function.

Question

kewlgeek555 · Answer

So I know the slope is a positive slope and it is 7.5million, right?

ganeshie8 · Answer

thats right

ganeshie8 · Answer

keep going..

kewlgeek555 · Answer

I also thin k that the independent variable is years and the dependent variable is the profit.  Right?

ganeshie8 · Answer

yup ! good so far :)

kewlgeek555 · Answer

Okay...so...um...in the fourth year, after the usual 7.5, it decreased also by 10 million because of the cost?

ganeshie8 · Answer

construction and stuff was going on, so they're paying expenses... which will be cut from the money they earn. so profit wud be low obviously..

ganeshie8 · Answer

you're given below details :-

$slope$, m = 7.5
one $point$ on graph : (4, 10)

ganeshie8 · Answer

use point-slope form of line, and draw the graph

kewlgeek555 · Answer

Okay, so I know that this is the point-slope equation, right?:$$y-y _{1}=m(x-x _{1})$$If it is, then this is my equation:$$y-10=7.5(x-4)$$Am I correct, and isn't it 7.5 million, not 7.5?

ganeshie8 · Answer

Nope. slope is just 7.5
it has no units

ganeshie8 · Answer

where is profit is increasing at a rate of 7.5 million.
but slope is just 7.5 here

kewlgeek555 · Answer

Okay.

kewlgeek555 · Answer

So do i solver this?

kewlgeek555 · Answer

I mean how.

ganeshie8 · Answer

you got the equation, that means u can draw the graph right ?
sorry im not getting ur question...

ganeshie8 · Answer

put y-axis as Profit in millions of dollars
put x-axis as Time in years passed

ganeshie8 · Answer

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kewlgeek555 · Answer

Okay, so would this be the graph @ganeshie8 hold on about five minutes

ganeshie8 · Answer

take ur time :)

kewlgeek555 · Answer

|dw:1381861960180:dw| Thats about it...

kewlgeek555 · Answer

The y-intercept is -20, right?

kewlgeek555 · Answer

So f(x) = 7.5x + -20?

kewlgeek555 · Answer

And it is not that close to 3, it is like in 2.6 (the x-intercept)

ganeshie8 · Answer

yes, y - intercept = -20
x - intercept = 2.666

ganeshie8 · Answer

just DONT show the graph in negative region, cuz this graph represents a physical situation... so it better start at 0

ganeshie8 · Answer

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