Yusef earned a total of 180 dollars from drawing 12 identically-priced pictures at a festival. Write an equation to describe the relationship between \( p \), the number of pictures, and \( e \), the total earnings. \( \square \underline{\mp} \)

To describe the relationship, we can establish the equation \( e = p \cdot r \), where \( e \) is the total earnings, \( p \) is the number of pictures sold, and \( r \) is the price per picture. Given that Yusef earned 180 dollars from drawing 12 pictures, we can find the price per picture using \( r = \frac{e}{p} \). So, if \( e = 180 \) and \( p = 12 \), then \( r = \frac{180}{12} = 15 \). Therefore, the complete relationship can be expressed as \( e = 15p \). Knowing that Yusef earns $15 per picture, it's easy to tackle various scenarios with this foundation. For example, if he decides to draw 20 pictures instead, you can simply plug that into the equation. Just remember, multiplying by 15 gives you projected earnings of $300. It's a straightforward way to budget and find out how much hard work could really pay off!