Question

home > leaked exams > june 2025 international form a (complete exam) the graph shows the relationship between the number of shares of stock from company a, x, and the number of shares of stock from company b, y, that sayen can purchase. which equation could represent this relationship? a y = 9x+16 b 9x + 16y = 720 c y = 16x+9 d 16x+9y = 720

Explanation:

Step1: Find the x - intercept

The x - intercept is the point where the line crosses the x - axis. From the graph, when \(y = 0\), \(x=80\).

Step2: Find the y - intercept

The y - intercept is the point where the line crosses the y - axis. From the graph, when \(x = 0\), \(y = 45\).

Step3: Use the intercept - form of a line

The intercept - form of a line is \(\frac{x}{a}+\frac{y}{b}=1\), where \(a\) is the x - intercept and \(b\) is the y - intercept. Here \(a = 80\) and \(b=45\). So the equation is \(\frac{x}{80}+\frac{y}{45}=1\).

Step4: Rearrange the equation

Multiply through by the least - common multiple of 80 and 45, which is 720. We get \(9x + 16y=720\).

Answer:

B. \(9x + 16y=720\)