Final answer:
To find an equation that matches the hanger, you need to consider the weights of each shape and use the equation: Total weight = (number of triangles × weight per triangle) + (number of circles × weight per circle) + (number of trapezoids × weight per trapezoid).
Step-by-step explanation:
To find an equation that matches the hanger, we need to consider the weights of each shape. Each triangle weighs 8 grams and each circle weighs 3 grams. Since each trapezoid weighs x grams, the equation that matches the hanger is:
Total weight = (number of triangles × weight per triangle) + (number of circles × weight per circle) + (number of trapezoids × weight per trapezoid)
For example, if there are 3 triangles, 2 circles, and 4 trapezoids, the equation would be:
Total weight = (3 × 8) + (2 × 3) + (4 × x)