A scale on a map shows that 3 centimeters represents 10 kilometers. What number of centimeters on the map represents an actual distance of 25 kilometers? centimeters

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Determine Scale Factor: We need to determine the scale factor that relates centimeters on the map to kilometers in reality. The scale given is 3 centimeters for 10 kilometers. To find the scale factor, we divide the number of kilometers by the number of centimeters. Scale factor = 10 kilometers / 3 centimeters.Find Centimeters for 25 Kilometers: Now we need to use the scale factor to find out how many centimeters represent 25 kilometers. We set up a proportion where the number of centimeters (which we are trying to find) is to 25 kilometers as 3 centimeters is to 10 kilometers. Let x be the number of centimeters that represent 25 kilometers. So, x / 25 kilometers = 3 centimeters / 10 kilometers.Set Up Proportion: To solve for x, we cross-multiply and get: 10 kilometers * x = 3 centimeters * 25 kilometers.Cross-Multiply to Solve: Now we solve for x: x = (3 centimeters * 25 kilometers) / 10 kilometers.Perform Calculation: We perform the calculation: x = (75 centimeters) / 10. x = 7.5 centimeters.

A scale on a map shows that $3$ centimeters represents $10$ kilometers. $\newline$ What number of centimeters on the map represents an actual distance of $25$ kilometers? $\newline$ centimeters

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A scale on a map shows that $3$ centimeters represents $10$ kilometers. $\newline$ What number of centimeters on the map represents an actual distance of $25$ kilometers? $\newline$ centimeters