Question

question 6 (4 points)
a scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters.
what number of actual meters are represented by 18 centimeters on the blue print?
step 1: create a proportion which will allow you to solve for the the actual meters represented by the 18 cm on the blue print. (2 pts)
step 2: what number of actual meters are represented by 18 centimeters on the blue print? (2 pts)
hint: set up your proportion with the following in mind
\\(\frac{scale}{actual} = \frac{scale}{actual}\\)
video timestamp is 7:00 for this concept.

Explanation:

Step 1: Set up the proportion

Let \( x \) be the actual meters represented by 18 centimeters. Using the given proportion formula \(\frac{\text{Scale}}{\text{Actual}}=\frac{\text{Scale}}{\text{Actual}}\), we substitute the known values. The first scale is 10 centimeters (on the blueprint) corresponding to an actual length of 2 meters, and the second scale is 18 centimeters (on the blueprint) corresponding to an actual length of \( x \) meters. So the proportion is:
\[
\frac{10}{2}=\frac{18}{x}
\]

Step 2: Solve the proportion for \( x \)

Cross - multiply the proportion \( \frac{10}{2}=\frac{18}{x} \). Cross - multiplying gives us \( 10\times x=2\times18 \).
Simplify the right - hand side: \( 10x = 36 \).
Then, divide both sides of the equation by 10 to solve for \( x \): \( x=\frac{36}{10}=3.6 \).

Answer:

The number of actual meters represented by 18 centimeters on the blueprint is \( 3.6 \) meters.