17. A scale drawing of a building plot has a scale of 1 inch to 40 feet. How many inches on the drawing represent a dis- tance of 175 feet on the plot?

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To find out how many inches on the drawing represent a distance of 175 feet on the plot, we can use the scale provided, which is 1 inch to 40 feet.

First, we can set up a proportion based on the scale:

$$
\text{Scale: } 1 \text{ inch} = 40 \text{ feet}
$$

Now, we want to find out how many inches (let's call it $$ x $$) correspond to 175 feet:

$$
\frac{x \text{ inches}}{175 \text{ feet}} = \frac{1 \text{ inch}}{40 \text{ feet}}
$$

Now we can cross-multiply to solve for $$ x $$:

$$
x \cdot 40 = 1 \cdot 175
$$

This simplifies to:

$$
40x = 175
$$

Now, divide both sides by 40 to isolate $$ x $$:

$$
x = \frac{175}{40}
$$

Calculating this gives:

$$
x = 4.375
$$

Therefore, the number of inches on the drawing that represent a distance of 175 feet on the plot is **4.375 inches**.
4.375 inches

17. A scale drawing of a building plot has a scale of 1 inch to 40 feet. How many inches on the drawing represent a dis- tance of 175 feet on the plot?

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