Having hard time with this

[jeca86]

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.

a) express the cost as a function of the number of chairs produced, assuming that it is linear. Then sketch the graph.

b) what is the slope of the graph and what does it represent?

c) what is the y-intercept of the graph and what does it represent?

 

[mathmike]

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.

a) express the cost as a function of the number of chairs produced, assuming that it is linear. Then sketch the graph.

You can designate x as a number of chairs and y as a cost. So, you'd have 2 points: (100, 2200) and (300, 4800). Then it is standard technique to draw a line through 2 points or calculate slope or do anything with that line as it is fully determined by 2 points.

 

[elindow]

Are you working out of Calculus: Early Transcendentals 5th edition by James Stewart?? Cause I had the same exact problem hehehe

but what you have to do is find the slope first which of course is m = (y2-y1)/(x2-x1) and then find the line which is y-y1=m(x-x1) after that just find the y-intercept by subbing 0 in for x.

The slope = cost to make a chair

y-intercept = starting cost

 

[Lizzie]

OMG I just asked for help on that one too, lol. Are any of you by chance ih ehler's online class????

 

[jeca86]

Thanx for all the help. We do have the same text elindow. Not in ehler's class Lizzie.