Chapter 4.1, Problem 50HP

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 50HP

Therefore, the relationship will be $2y=-x+8,\text{ slope(}m)=\frac{-1}{2},y-\text{intercept=4}\text{.}$

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,

  $\begin{array}{l}(y-y_2)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_2)\\ (y-0)=\frac{(0-4)}{(8-0)}(x-8)\\ y=-\frac{1}{2}\times (x-8)\\ 2y=-x+8\\ \text{Slope for the equation,}m=\frac{(y_2-y_1)}{(x_2-x_1)}=\frac{(0-4)}{(8-0)}=\frac{-1}{2}\\ y-\text{intercept=}4\end{array}$

Therefore, the relationship will be $2y=-x+8,\text{ slope(}m)=\frac{-1}{2},y-\text{intercept=4}\text{.}$