## anonymous 5 years ago The company discovered that it costs $30 to produce 2 widgets,$118 to produce 4 widgets, and \$766 to produce 10. Find the cost of producing 6 widgets. Use the quadratic function to solve

1. anonymous

You're told the function you should be looking for is quadratic, and you have three (x,y) points to use. The general form of the quadratic is$y=ax^2+bx+c$If you substitute each pair of points, you'll end up with three linear equations in the constants, a, b and c. You can then solve these using linear algebra. So, for the first point, (2,30),$30 = a(2^2)+b(2)+c \rightarrow 30=4a+2b+c$That's equation 1.

2. anonymous

For (4,118),$118=16a+4b+c$and for (10,766),$766=100a^2+10b+c$

3. anonymous

sorry, typo on last one. Should be$766=100a+10b+c$

4. anonymous

Can you take it from here? You use these three equations to solve for a, b and c. Then you can set up your quadratic, and plug in x=6 to get the cost.

5. anonymous

probably not. seeing i'm completely confused and my online courses don't really do enough explaining for math.