Select the correct answer. Sarah wants to print copies of her artwork. At the local print shop, it costs her \( \$ 1 \) to make 5 copies and \( \$ 5 \) to make 25 copies. Which equation represents this direct variation? A. \( y=5 x \) B. \( y=\frac{1}{5} x \) C. \( y=x \) D. \( y=\frac{1}{25} x+5 \)

To find the equation that represents Sarah's printing costs in direct variation, we can analyze the given information. The cost \( y \) depends directly on the number of copies \( x \). Since \( \$1 \) yields \( 5 \) copies, we find the cost per copy is \( \frac{1}{5} \). Thus, if \( x \) is the total number of copies, the equation that fits this direct variation is \( y = \frac{1}{5} x \). Now about real-life print shops: these places often implement creative pricing structures based on the volume of printing. So, whether you're looking at posters, flyers, or art prints, bulk deals can save you serious cash! Always ask about deals–you might be surprised by what they can offer for larger quantities. Also, when it comes to understanding variations in everyday life, think about the way we buy groceries! The cost per item often decreases when buying in bulk, just like Sarah’s copies. So next time you're at the store, keep this in mind! Look for deals that maximize value, just like Sarah did with her artwork prints!