Writing equations and calculating cost based on a graph

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Homework Help Overview

The discussion revolves around a problem related to writing equations and calculating costs based on a graph that represents the pricing structure of personalized dog accessories. Participants are tasked with modeling the relationship between the total cost and the number of additional letters in a dog's name.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formulation of an equation to represent the cost structure, questioning the definitions of variables such as slope (m) and y-intercept (b). There are attempts to clarify the relationship between the basic fee and additional costs, as well as the interpretation of the graph.

Discussion Status

There is ongoing exploration of the correct equation to model the cost based on the graph. Some participants have pointed out potential errors in the original poster's equation and table of values, leading to a reconsideration of the slope and y-intercept. Participants are actively questioning assumptions and definitions, with no clear consensus reached yet.

Contextual Notes

Participants are working with a graph that is not fully described in the thread, which may lead to confusion regarding the correct values for the slope and intercept. The original poster's understanding of the relationship between the basic fee and additional letters is under scrutiny, and there is an emphasis on recalculating based on the graph's data points.

  • #31
So if it is 11, would that mean that y = 1.25x + 11?
 
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  • #32
Kirito123 said:
So if it is 11, would that mean that y = 1.25x + 11?

You can verify whether you are correct by choosing a random point and fill the x and y in in the equation. When you get something like '3 = 3', you are correct. Do you get something like '3=4', you made a mistake. Every single point of the line is given by this equation (if correct) .
 
  • #33
No I am wrong then cause if i plug in x and y as 2 for example i would get like 2 = 15 (near 15).
 
  • #34
SammyS said:
And the question Math_IQ asks is: "What do you get for b ?"

(I think you already have it.)
Kirito123 said:
No I am wrong then cause if i plug in x and y as 2 for example i would get like 2 = 15 (near 15).
2×1.25 = 2.50

2.50 +11.00 = 13.50

Looks good to me !
 
  • #35
O i thought i was wrong cause if i put 3 = 1.25(3) + 11 it doesn't make 3 =3 or did i not understand what math_qed mean't.
 
Last edited:
  • #36
So if I am correct should i just use that formula to solve for the graph i made?
 
  • #37
Kirito123 said:
So if I am correct should i just use that formula to solve for the graph i made?
Yes, make a chart for prices all the way from 0 extra letters all the way to 12 extra letters. When finished, make sure it agrees with the graph.
 
  • #38
ok
 
  • #39
Yes that formula is right. i tried it with 0 , 1 , 2, and 3 and i got the same answer as shown on the graph. I think the whole reason i got it wrong was because i didn't look a the graph closely. i think i can do the rest now. Thx a lot :)
 
  • #40
Try larger values of x.

Check a larger range of the graph.

x=6, 8, 9,12 .
 
  • #41
ok i will
 
  • #42
Ok i tested it out for 6 and other numbers and i got the right answer, (srry for the late reply). But anyway that proves the formula is right and THX SO MUCH.

if I am wrong pls correct me. Formula : y = 1.25x + 11
 
  • #43
Kirito123 said:
Ok i tested it out for 6 and other numbers and i got the right answer, (srry for the late reply). But anyway that proves the formula is right and THX SO MUCH.

if I am wrong pls correct me. Formula : y = 1.25x + 11

Seems good.
 
  • #44
thank you again.
 
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