A community for students.
Here's the question you clicked on:
 0 viewing
calculusxy
 one year ago
MEDAL!!!
Questions attached below.
calculusxy
 one year ago
MEDAL!!! Questions attached below.

This Question is Closed

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Let's start with something simple; dw:1436914236068:dw

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436914308206:dw

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1Based on what we've observed, it seem that for each one bottom rod we add, we add 4 rods.

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2essentially what geerky42 is doing he is simply modeling this problem by starting at the simplest form of the problem, then you work up to include complexities

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2until you get a function that models your system

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1So how can I write a function to represent that?

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2so for the first equation, we will denote, y = the total number of rods x = the total number of bottom rods we have from just a triangle made of rods: 3x = y because we know that one triangle uses 3 rods: 3(1) = 3 Now lets think about when we have 3 rods We sub 3 into our original equation we developed: 3(3) = 9 9 does not equal 11 Now think how can we change this equation: 3x = y to equal 11, when x = 3

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2This new equation also has to satisfy the original requirement, x = 1, y = 3

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1I still don't understand how we would satisfy it if we have x = 1 and y = 3.

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2you are simply modifying your original expression: 3x = y to give you an expression that satisfies when x = 1, y = 3 when x = 3, y = 11 Just play with the numbers in the original equation so it satisfies these conditions. Or you could just realize this is a linear function, and just use y=mx+b formula to solve it.

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2right now it satisfies the first condition x = 1 and y = 3 you need it to also satisfy when you have 3 (x=3) bottom rods you need 11 rods total (y=11)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1so if we are using y = mx + b we know that y = 3 and x = 1 so 3 = mx + b Then we need to find out the slope: \[\frac{ y_2  y_1 }{x_2  x_1 } \] \[\frac{ 11  3 }{ 3 1 } = \frac{ 8 }{ 2 } = 4 \] Our slope would then be 4. Now we have: \[11 = 4x + b \] So do we just plug in 3 for x ?

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2plug in an x value and solve for b

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2the x value would be 3

Australopithecus
 one year ago
Best ResponseYou've already chosen the best response.2got to go you got this though looks good to me, I am sure you can solve for b

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1\[11 = 4(3) + b \] \[11 = 12 + b\] \[11  12 = 12  12 + b\] \[1 = b\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1\[y = 4x 1 \] Would that be correct?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436915563228:dw

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1@geerky42 Hilarious!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.