Question

quick computing company produces calculators they have found that the cost c(x) of making x calculators is a quadratic function in terms of x. The company also discovered that it costs $45.00 to produce two calculators $143 to produce four calculators $143 to produce four calculators and $869 to produce ten calculators. Find the cost of producing seven calculators

Answer 1

Hey old school mate! I know you

Answer 2

You look familiar

Answer 3

lol that was a prank to get you started with a bit of funXD

Answer 4

lol you look like a guy in my class

Answer 5

In question like this you need to start organizing the known values and keys that can lead to finding the final answer.

Answer 6

First you know that this is a quadratic equation we all know to be old school nostalgia

Answer 7

Ok since now that you know this is a quadratic function you find the coordinates to find in with other coordinates in the form of quadratic equation which has parabola and vertex just like your teacher's lesson

Answer 8

you need to assume that this is a quadratic equation and that all of the coordinates described conform with the shape of that parabola old school

Answer 9

You can either use your calculator to do it, just assign it to quadratic equation and enter the coordinates given. Or you can draw it on a cartesian plane to get the approximate amount.

Answer 10

Or you can go about calculating it by hand which would take a bit of trick ;) Let me know how it goes.

Answer 11

um.. what?

Answer 12

Good luck:)

Answer 13

math stands for mental abuse to humans;) and you are the participant;)

Answer 14

I have no clue how to do what you described above

Answer 15

Ok. Which part? I don't understand.

Answer 16

any of it

Answer 17

let
c(x) = ax^2 + bx + c general form of a quadratic function
from the data

45 = a(2)^2 + 2b + c
143 = a(4)^2+ 4b + c
869 = a(10^2 + 10b + c

from this we can find values of a , b and c

then plug in x = 7

Answer 18

so the system of equations is

4a + 2b + c = 45
16a + 4b + c = 143
100a + 10b + c = 869

Answer 19

looks a bit scary but they can be solved

Answer 20

if you subtract the first one from the second
then 2nd from the third you will eliminate the c and get 2 equations in a and b

Answer 21

12a + 2b = 98
84a + 6b = 726

Answer 22

now multiply first equation by -3 and add
-36a - 6b = -294
84a + 6b = 726 adding:-

48a = 432
a = 432/48 = 9

a = 9

Answer 23

I've found a now you can find b and c

gotta go