Question

I Need a Tutor to Help me with Writing Linear Functions (From Word Problems)? How do I know what is the independent/dependent variable? How do I know what is the y- and x- intercept? The slope? I mainly need help on how to find the independent and dependent variables.

Answer 1

Hold on a second (sorry)

Answer 2

So they gave me this example:

Suppose the up-front construction costs for "green features" program in a school would be $300,000. In return, the annual savings from the "green features" program would be $75,000. There is a linear relationship between time and the total savings that add up from the green features. Analyze.

It says that the independent variable is years, but why and how so I find this??
It says that the dependent variable is the annual savings that add up, but why and how do I find this?
It says that the slope is the annual savings per year ($75,000). I think I can do this.
It says the standard form answers are (0, -300) and (4, 0) - how the hell did they find this?
It says the x-intercept is (4, 0) it is the year that the savings from going green equal the construction costs. What?!

Please help.

@agent0smith @mathstudent55 @DebbieG @wio

Answer 3

-300 is because they don't save 300,000 right at the start - they pay 300,000, so they start at -300.

Answer 4

It says the x-intercept is (4, 0) it is the year that the savings from going green equal the construction costs.

they start down 300,000. After 4 years of saving 75,000 per year, how much have they saved?

Answer 5

They saved what they payed (300000) @agent0smith .

Answer 6

So, I have a question, but I am going to try to solve it...

Answer 7

almost all the time,
time is independent variable

Answer 8

cuz you measure everything with reference to time,
so, if one of your variables is time, it is easy to figure out which one is independent/dependent

Answer 9

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 $40 million after 4 years while profits increased $30 million per year. Select the correct graph of this function.

I think the independent variable would be...years??
That would make the dependent variable the profit.
The slope is...20

Answer 10

years is independent variable
but how did u get slope = 20

30 million per year, wud make 30 as slope right ?