Simpson Mcguire
06/11/2023 · Elementary School
An Image of a map of the United Status on a website is 3 centimeters wide and 2 centimeters tall on the computer screen. The actual map is 21 inches wide. What scale is being used tor the image on the website? at \[ 1 \text { centimeter on the website represents } \square \text { inches on the actual map. } \]
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Step-by-step Solution
To find the scale being used for the image on the website, we need to determine how many inches on the actual map correspond to 1 centimeter on the website.
Given:
- The image of the map on the website is 3 centimeters wide.
- The actual map is 21 inches wide.
- The image of the map on the website is 2 centimeters tall.
We can set up a proportion to find the scale:
\[ \frac{1 \text{ centimeter on the website}}{x \text{ inches on the actual map}} = \frac{3 \text{ centimeters on the website}}{21 \text{ inches on the actual map}} \]
Solving this proportion will give us the scale being used for the image on the website.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{1}{x}=\frac{3}{21}\)
- step1: Find the domain:
\(\frac{1}{x}=\frac{3}{21},x\neq 0\)
- step2: Reduce the fraction:
\(\frac{1}{x}=\frac{1}{7}\)
- step3: Rewrite the expression:
\(x=7\)
- step4: Check if the solution is in the defined range:
\(x=7,x\neq 0\)
- step5: Find the intersection:
\(x=7\)
The scale being used for the image on the website is 1 centimeter on the website represents 7 inches on the actual map.
Quick Answer
1 centimeter on the website represents 7 inches on the actual map.
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