Chapter 4.1, Problem 51HP

To determine

To calculate: Describe the graph and describe its functionality in real-world situation. Find out the equation of the graph.

Answer to Problem 51HP

Therefore, the relationship will be $2y=-x+8,\text{ slope(}m)=\frac{-1}{2}.$

Explanation of Solution

Calculation: According to question, comparing it with real quantities.

Let $x$ represents number of apples and $y$ represents number of oranges.

To find the relationship between them,

  $\begin{array}{l}(y-y_2)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_2)\\ (y-0)=\frac{(0-4)}{(8-0)}(x-8)\\ y=-\frac{1}{2}\times (x-8)\\ 2y=-x+8\end{array}$

Since, the given graph is linear and it may be affected by external factors which can deviate

the prediction of graph such as high depreciation, mismanagement of demand and supply chain.

Therefore, the relationship will be $2y=-x+8,\text{ slope(}m)=\frac{-1}{2}.$