lamoyne needs four more pieces of lumber for his scout project. the pieces can be cut from one large

Mathematics
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lamoyne needs four pieces of lumber for his scout project. The pieces can be cut from one large piece of lumber according to the following pattern. The lumberyards will make the cuts for lamoyne at a fixed cost of 2.25 plus an additional cost of 25 cent per cut. One cut is free. What is the functional relationship between the total cost of cutting a piece of lumber and the number of cuts required? What is the equation of this function? Be sure to define variables in the context

Apr 7th, 2015

C =number of pieces cut

Since the first cut is free, if C = 1, then TC = $2.25

TC = total cost

TC = 2.25 + (0.25)(C-1)

For 4 cuts,

TC = 2.25 + (0.25)(4-1)

TC = 2.25 + (0.25)(3)

TC = 2.25 + 0.75, TC = $3.00


 



Apr 7th, 2015

Thanks. Need help with another one

Apr 7th, 2015

Go ahead

Apr 7th, 2015

If you want to choose me as your tutor, we can "chat" through the 'chat window' and I can answer your problems for free.

Apr 7th, 2015

Use the equation to determine lamoyne total cost for cutting

Apr 7th, 2015

TC = 2.25 + (0.25)(C-1) where TC is total cost, C is the number of cut pieces

Apr 7th, 2015

Can u help me

Apr 7th, 2015

OK, interpret the slope of the equation in words in the context of this problem

Apr 7th, 2015

Line is y = mx + b where m = slope, b is the constant.

In this case:

y = (0.25)(C-1) + 2.25,  This will be a line. 0.25 is the slope, 2.25 is the constant, you can replace "x" for (C-1) as long as you understand that for each X > 2, x will equal (x-1) instead of "x"

y = 0.25x + 2.25

Here are some points to get you started. This line will not be a continuous one because x=0 has NO VALUE.  In fact all real numbers between x = 0 and x = 1 have NO VALUE.  This line will be a line that BEGINS at x=1 and will go off into infinity HOWEVER, THE LINE WILL NOT BE SOLID (you can not have 1/2 or 1/4 of a cut, so the "line" will be dotted instead of solid when you connect the dots.  Understand?

(1, 2.25)

(2, 2.50)

(3, 2.75)

Apr 7th, 2015

This really hard to understand. That's why I need your help. I thank u

Apr 7th, 2015

Just know that the slope for this "line" is 0.25, (with each piece cut, cost is raised $0.25).  Normal lines will not be like this.  NORMAL LINES HAVE A CONSTANT SLOPE AND THE LINE WILL GO TO INFINITY IN EACH DIRECTION

THIS EQUATION REPRESENTS, IN GEOMETRY, SIMILAR TO A "RAY" with a starting point and then going into infinity into one direction, except in this case, instead of a solid line between points, there is a dotted line instead. Let me know if you have any other questions.

Apr 7th, 2015

Can u interpret the intercept of your equation in words in the context of this problem. Does interpreting the intercept make sense in the problem? Explain.

Apr 7th, 2015

Interpret the intercept of your equation in words in the context of this problem. Does interpreting the intercept makes sense in this problem? Explain.

Apr 7th, 2015

If they mean to interpret where the line intercepts the x or  y axis, the answer is it doesn't.  Usually x,y intercepts are when you set x then y equal to zero to come up with where the intersect, however, since the total cost (TC or y) is never 0, (since you can't have 0 cuts), both x and y axis do not touch the "line".  If they want to make (0,0) the first "point" of the line, you could say zero cuts = zero total cost, other than that, there are no x or y intercepts.  Let me give you an example of regular line:

y = x + 3

Slope = 1

Constant = 3

x intercept (0,3) when x=0, y = 3 (line crosses x axis)

y intercept (-3,0) when x = -3, y = 0 (line crosses y axis)

Points on this line would included (including the intercepts above):

(-3, 0)

(-2, 1)

(-1, 2)

(0, 3)

(1, 4)

When you plot these 5 points, you will see the line is straight, slope is positive (inclining), line passes through x axis at x= -3 and passes through the y axis at y=3.

Apr 7th, 2015

If you would like, I could graph the "line" for you and scan it into my computer and try to upload it to you.  I could also give you the above graph so you can see the difference, how would that be?

Apr 7th, 2015

Here is the graph of the scanned graph of TC = (0.25)(C-1) + 2.25Total Cost vs Cost per cut Graph.jpg

Apr 7th, 2015

Do u do science aswell.

Apr 8th, 2015

y = x + 3 graph attached ("normal line")  X intercept = -3, y intercept = 3. Slope = 1, Points on line (-1, 2) (0.3), (1, 4), (-3, 0).  Let me know if you have any other questions about the two graphs.y equals x plus 3 graph with x y intercepts and slope indicated.jpg

Apr 8th, 2015

I went to nursing school so I know biology, a little chemistry, anatomy & physiology was my best subject. I can't do physics, never had the subject. But general science I am usually OK with.

Apr 8th, 2015

How can I stay in touch with you on this, for another school day too. I will need your help tomorrow too. Forgot how I found u. U are great

Apr 8th, 2015

Look up my name Beth L, or under Mathematics, Algebra subjects. You will see my name there. I am usually online from 5 or 6pm (eastern time, USA, North Carolina) to around 8 or 9pm unless I have a lot of students wanting my help, in that case, I am online until they are done asking me everything they need help.

Apr 8th, 2015

OK, my name is charmagne and my mother is here too. Her name is senita. Can we find u tomorrow. How

Apr 8th, 2015

FYI I have a Bachelor's degree (4 year) in Mathematics from Penn State University with over 20 years experience (graduated in 1995) in teaching/tutoring math (mostly algebra and geometry).

Apr 8th, 2015

Thanks for your help

Apr 8th, 2015

Yes I'll be online tomorrow night and the rest of the week from about 5 or 6pm eastern time to around 8 or 9pm.  Sometimes I'm online much later, depends on how many students I am helping in one night.  Sometimes I am still online at 10 or 11pm.

Apr 8th, 2015

Anytime. Glad I could help you. Use those graphs I put up to help you to understand graphs.

Apr 8th, 2015

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