Question

he profit on the sale of a bicycle at a bike shop is $35, while the profit on the sale of a tricycle is $21. The owner is interested in making more than $210 in profit per day, and expects to sell at most 8 items per day. However, the owner discovered he was making less than $210 in profit per day. The system that represents this situation is b + t ≤ 8 and 35b + 21t < 210. The graph of the boundary lines is shown below. Which region should be shaded (to form the solution)?

Answer 1

The systems of inequalities given is,

`\begin{gathered} b+t\leq8\ldots\ldots\ldots.1 \\ 35b+21t<210\ldots\ldots.2 \end{gathered}`

Since he can't sell more than 8 items per day, then from the graph given the best region that should be shaded is region 4.