Question

can anyone help me with solving problems using quadratic functions?

Answer 1

yes, post your problem

Answer 2

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.

Answer 3

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?

Answer 4

wait, are you sure that it costs $140 to produce 10 camera cases?

Answer 5

yes

Answer 6

okay then scrap the acceleration analogy.

Answer 7

alrighty

Answer 8

ill get back to you with this one.

Answer 9

say actual cost of production per camera case is X

Answer 10

and cost of materials to build camera is Z

Answer 11

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

Answer 12

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

Answer 13

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.