The company discovered that it costs $28 to produce 2 camera cases, $50 to produce 4 camera cases, and $140 to produce 10 camera cases. Using the quadratic function, find the cost of producing 12 cameras.

- anonymous

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- anonymous

P = ax^2+bx+c, P is total production cost, x is number of cases. solve for a,b,c using the three values you are given,

- anonymous

so, 28 = 4a+2b+c
50 = 16a+4b+c
140 = 100a+10b+c

- anonymous

solve for a,b,c

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## More answers

- anonymous

how do i do that?

- anonymous

do you know how to do matrices?

- anonymous

no

- anonymous

okay
28 = 4a+2b+c ---------------------------------------->Eqaution 1
50 = 16a+4b+c ---------------------------------------> Eqn 2
140 = 100a+10b+c----------------------------------> eqn 3
do eqn 3 - eqn 1
and do eqn 2 - eqn 1
and post what you got here

- anonymous

still don't know how to figure it out

- anonymous

Can you subtract equation 1 from equation 2 and post it here?

- anonymous

38=12a+2b

- anonymous

how did you get 38?

- anonymous

32*

- anonymous

i mean 22*

- anonymous

ok so repost the correct equation again

- anonymous

22=12a+2b

- anonymous

okay good. Now, the same way, subtract equation 1 from equation 3

- anonymous

112=96a+8b

- anonymous

okay. Now, can you solve the set of equations
12a + 2b = 22
96a + 8b = 112
?

- anonymous

can you help me with it.

- anonymous

okay, have you learned how to solve two equations for two unknown variables in school?

- anonymous

not that i can remember.

- anonymous

you haven't done basic algebra in school yet?

- anonymous

alright anyway,
12a + 2b = 22 ------------>eqnA
96a + 8b = 112----------->eqnB

- anonymous

do you know substitution to solve for a and b?

- anonymous

okay just do 4 times eqn A and post it here.

- anonymous

what do you mean

- anonymous

If you multiply both sides of equation A by 4, what do you get?

- anonymous

48a+2b=88

- anonymous

try again

- anonymous

that's multiplying both sides by 4.

- anonymous

so 2b*4 = 2b?

- anonymous

usually when i've done that, i've never done it to all. be more specific.

- anonymous

48a+8b=88

- anonymous

if a =4, then 4a =16
so we multiply both sides by 4.
so if a+b = 4
then 4(a+b) =16

- anonymous

okay good,
so 48a + 8b = 88--------------->eqn. C
Do you notice what we did there? we multiplied equation B by 4 so that both equation A and equation C have the term 8B in them. So now subtract equation C from equation A.

- anonymous

i'm still completely confused

- anonymous

what are you confused about?

- anonymous

OK join me
http://www.dabbleboard.com/draw?b=Guest654407&i=0&c=ce1b368e8fb4c87408d1e26d13c93f5bf92f9032
will explain in detail there

- anonymous

okay i'm on there

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