Question

Widget Wonders produces widgets. they have found that the cost, C(X), of making x wigets is a quadratic function in terms of x.
the company also discovers that it costs $30 to produce 2 widgets, $118 to produce 4 widgets, and $766 to produce 10 widgets.

find the total cost of producing 6 widgets.

Answer 1

@LastDayWork

Answer 2

In general, the quadratic function can be written as
\[C(x) = px^2+qx+r\]

We are given that -
C(2) = 30
C(4) = 118
C(10) = 766

Find the value of p, q, r
Then calculate C(6)

Answer 3

i forget how to do that?

Answer 4

c(4)=a4^2+m4+b
c(2)=a2^2+m2+b
c(10)=a10^2+m10+b

Answer 5

c(4)=a4^2+m4+b = 118
c(2)=a2^2+m2+b = 30
c(10)=a10^2+m10+b = 766

So we have three equations and three unknowns..Solve them...if you dare :P

Answer 6

Sorry, I have to go now..I'll return in an hour
Also, I cant PM you :(

Answer 7

its alright thanks for the help today :)

Answer 8

i'm sorry I don't know but I will keep trying!

Answer 9

grrrr!!!

Answer 10

let c(x) = ax^2 +bx + c
30 = 4a + 2b + c (1)
118 = 16a + 4b + c (2)
766 = 100a + 10b + c (3)
(2) -(1) gives 88 = 12a + 2b (4)
(3) -(2) gives 648 = 84a + 6b (5)
(4) x 3 gives 264 = 36a + 6b (6)
(5) - (6) gives 384 = 48a
a = 384/48 = 192 /24 = 96/12 = 8
Sub. a = 8 into (4)
88 = 96 + 2b
2b = -8
b = -4
Sub. a=8 & b=-4 into (1)
30 = 4a + 2b + c (1)
30 = 32 -8 +c
c = 30 -32 +8
= 6
so c(x) = 8x^2 - 4x + 6
I think this is it I hope so I tried my best!!
if not I am sorry

Answer 11

thanks

Answer 12

you are welcome was that it?

Answer 13

whats the total value though?

Answer 14

okay hold on I will find that out too just give me a few sec's okay brb

Answer 15

ok :)

Answer 16

30 118 766

2 4 x

118 766

4 x

118x= 3064
x=3064/ 118
x=25.96 or 26 widgets
the total is 25.96 or 26.00
I think through

Answer 17

im supposed to find out how much it cost to make 6 widgets

Answer 18

oh I am sorry let me try again

Answer 19

Sub. a=8 & b=-4 into (1)
30 = 4a + 2b + c (1)
30 = 32 -8 +c
c = 30 -32 +8
= 6
so c(x) = 8x^2 - 4x + 6
if you are looking for =6 this is the one that you will need. :)

Answer 20

thank you and i know this is probably frustrating because it was for me

Answer 21

yeah it is hard and I hate math so much and I cant wait to be done with math

Answer 22

me either i have 3 more lessons and in done with mine for the year

Answer 23

I think it would be $148

Answer 24

it wasnt :/