Question

A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 32x − 100, and the cost of distributing by truck can be modeled as −0.04x2 + 26x − 170, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.

Answer 1

To find the answer to this question we have to find the difference between the two polynomials:

`\begin{gathered} -0.06x^2+32x-100-(-0.04x^2+26x-170) \\ -0.06x^2+0.04x^2+32x-26x-100+170 \\ -0.02x^2+6x+70 \end{gathered}`

It means that the answer is:

`-0.02x^2+6x+70`