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anonymous

  • 5 years ago

can anyone help me with solving problems using quadratic functions?

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  1. anonymous
    • 5 years ago
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    yes, post your problem

  2. anonymous
    • 5 years ago
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    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.

  3. anonymous
    • 5 years ago
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    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?

  4. anonymous
    • 5 years ago
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    wait, are you sure that it costs $140 to produce 10 camera cases?

  5. anonymous
    • 5 years ago
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    yes

  6. anonymous
    • 5 years ago
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    okay then scrap the acceleration analogy.

  7. anonymous
    • 5 years ago
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    alrighty

  8. anonymous
    • 5 years ago
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    ill get back to you with this one.

  9. anonymous
    • 5 years ago
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    say actual cost of production per camera case is X

  10. anonymous
    • 5 years ago
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    and cost of materials to build camera is Z

  11. anonymous
    • 5 years ago
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    and wastage is y. Then we can say total production cost P = -YC^2+XC-Z where C is the number of cameras.

  12. anonymous
    • 5 years ago
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    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

  13. anonymous
    • 5 years ago
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    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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