Question

The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets. What is the total cost producing 5 widgets?

Answer 1

@mathstudent55

Answer 2

U have to find unit rate

Answer 3

The numbers are strange in this problem. Are you sure they are correct?

Answer 4

Yes

Answer 5

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.

The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.

Find the total cost of producing 5 widgets.

Answer 6

Ok, now I see.
It's a quadratic function, and you have three given points.

The form of a quadratic function is

\(ax^2 + bx + c = 0\)

You have three given (x, y) points:

(3, 15.50)
(7, 23.5)
(12, 56)

Insert each of the three points in the equation.
You will get three equations in three unknowns, a, b, and c.
Solve the system of equations for a, b, and c.
Then insert a, b, and c in the quadratic equation above.

Finally, evaluate it for x = 5.

Answer 7

THANK YOU!!!!

Answer 8

You're welcome.