2. An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches? *Must show your work*

To find the height of the scale model, we will first convert the height of the stadium from feet to inches using the given scale. We know that the scale is 2 inches for every 30 feet. 1. **Conversion**: Since we need the height in inches, we first find out how many feet the model represents for every inch. The scale says 2 inches corresponds to 30 feet. By dividing, we find: \[ 1 \text{ inch} = \frac{30 \text{ feet}}{2} = 15 \text{ feet} \] 2. **Height Calculation**: Now we need to convert the actual height of the stadium (180 feet) into the scale model height: \[ \text{Scale model height (in inches)} = \frac{\text{Actual height (in feet)}}{\text{feet per inch}} = \frac{180 \text{ feet}}{15 \text{ feet/inch}} = 12 \text{ inches} \] So, the height of the scale model is **12 inches**.