In Ali garden, he wants to build a concrete fountain. So he consults two different companies who provides concrete pours: Alibaba's Concrete (charges $700 plus $20/m^3 of concrete) and Baborina's Concrete ($1200 plus $15/m^3 of concrete). Let x be the totalm^3 of concrete pours need.

Question

In Ali garden, he wants to build a concrete fountain. So he consults two different companies who provides concrete pours: Alibaba's Concrete (charges $700 plus $20/m^3 of concrete) and Baborina's Concrete ($1200 plus $15/m^3 of concrete). Let x be the totalm^3 of concrete pours need.
Find an algebraic expression for both companies in terms of x  and for what volume of concrete will it be cheaper to use Alibaba's Concrete?

Reiny · Answer

A(x) = 700 + 20x B(x) = 1200 + 15x set A(x) = B(x) to find for what x they are the same