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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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.

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1 centimeter on the website represents 7 inches on the actual map.
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