Final answer:
The proper slope for guttering is 1/4-inch per 5 to 10 feet, and this question relates to using ratios and proportions to calculate slopes and scales in mathematical contexts.
Step-by-step explanation:
The proper slope for guttering is 1/4-inch per 5 to 10 feet. This slope ensures that water is effectively channeled away from the building, preventing pooling and potential damage. To explore this concept using mathematics, consider scenarios where a student might use ratios and proportions in scale drawings or models, such as creating a scale drawing of a backyard or calculating the size of a scale model using a given scale factor. For example, if the scale is 1/2 inch equals 5 feet, you can write the unit scale as a ratio (inches to feet) of 0.5/5 to find corresponding lengths in the model or drawing.