Question 8 Which of the following points would be found on the line that is graphed by the direct variation equation \( y=3.5 x \) ? Select all that apply. \( \begin{array}{l}\square \text { A) }(0,1) \\ \square \\ \square \\ \square \\ \square\end{array}(0,3,5) \) \( \square \) (D) \( (1,3,0) \) \( \square \) E) \( (3.5,1) \) \( \square \) F) \( (10,35) \)

Let’s dive into some key historical moments related to direct variation. The concept of direct variation can be traced back to ancient Greek mathematicians who studied linear functions and ratios. The study of these relationships laid the groundwork for future mathematicians like René Descartes and Sir Isaac Newton, who expanded the evolution of algebra and calculus, eventually influencing how we understand equations like \( y = kx \) today. Now, let’s talk about real-world applications! Direct variation is not just a math class classic; it pops up in everyday life. For instance, when you're filling up gas, the cost is directly proportional to the gallons you buy—if gas is $3.50 per gallon, then buying 10 gallons would cost you $35. Just like the equation \( y = 3.5x \), it shows how mathematical principles are everywhere when we least expect them!