anonymous
  • anonymous
can anyone help me with solving problems using quadratic functions?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
yes, post your problem
anonymous
  • anonymous
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
  • anonymous
ok lets liken this to acceleration. You are in a car. You see that you went 28 yards in 2 seconds. 50 yards in 4 seconds and 140 yards in 10 seconds. What is your acceleration?

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anonymous
  • anonymous
wait, are you sure that it costs $140 to produce 10 camera cases?
anonymous
  • anonymous
yes
anonymous
  • anonymous
okay then scrap the acceleration analogy.
anonymous
  • anonymous
alrighty
anonymous
  • anonymous
ill get back to you with this one.
anonymous
  • anonymous
say actual cost of production per camera case is X
anonymous
  • anonymous
and cost of materials to build camera is Z
anonymous
  • anonymous
and wastage is y. Then we can say total production cost P = -YC^2+XC-Z where C is the number of cameras.
anonymous
  • anonymous
so plug in the three values of production cost and number of camera cases in the equation above and solve for X,Y and Z
anonymous
  • anonymous
or, lets say the quadratic equation to define the number of camera cases was P = ax^2+bx+c , where x is the number of cases and P is the total production cost. plug in the three values of P and x. and solve for a,b,c. three equations three unknowns. easy as pie.

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