To find the number of units that gives break-even for the product, solve the equation R $$\mathbf { R } = \mathbf { C }$$ ound your answer to the
nearest whole unit.
-Suppose that the number of inhabitants of Country A is given by $y = - 7.26 x + 949.26$ million, and the number of inhabitants of Country B is given by $y = 4.14 x + 790.8$ million, where $x$ is the number of years since 2010 . When the number of inhabitants of Country A equals the number of inhabitants of Country B, how many people inhabit each country?
A) 849,798,000 people
B) 847,620,000 people
C) 848,346,000 people
D) 849,072,000 people

Question

Quizplus · Accepted Answer

To find when the populations are equal, set the equations equal: $-7.26x + 949.26 = 4.14x + 790.8$. Solving for $x$, we find $x = 10$. Substituting $x = 10$ into either equation gives the population as approximately 848.346 million, which corresponds to 848,346,000 people.

To Find the Number of Units That Gives Break-Even for the Product