Thank you for visiting Use a proportion to solve the problem On a map the length of a nature center trail is 9 7 centimeters If the scale is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the problem using a proportion, follow these steps:
1. Understand the scale: According to the given scale, 3 centimeters on the map represent 11 kilometers in reality.
2. Set up a proportion: We need to find the actual length of the trail given that it measures 9.7 centimeters on the map. So, we set up the proportion like this:
[tex]\[
\frac{3 \text{ cm}}{11 \text{ km}} = \frac{9.7 \text{ cm}}{x \text{ km}}
\][/tex]
Where [tex]\( x \)[/tex] is the actual length of the trail in kilometers.
3. Solve the proportion: Cross-multiply to find [tex]\( x \)[/tex]:
[tex]\[
3 \times x = 11 \times 9.7
\][/tex]
[tex]\[
3x = 106.7
\][/tex]
4. Divide to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{106.7}{3}
\][/tex]
[tex]\[
x \approx 35.5667
\][/tex]
The actual length of the trail is approximately 35.6 kilometers.
So, the correct choice is 35.6 km.
1. Understand the scale: According to the given scale, 3 centimeters on the map represent 11 kilometers in reality.
2. Set up a proportion: We need to find the actual length of the trail given that it measures 9.7 centimeters on the map. So, we set up the proportion like this:
[tex]\[
\frac{3 \text{ cm}}{11 \text{ km}} = \frac{9.7 \text{ cm}}{x \text{ km}}
\][/tex]
Where [tex]\( x \)[/tex] is the actual length of the trail in kilometers.
3. Solve the proportion: Cross-multiply to find [tex]\( x \)[/tex]:
[tex]\[
3 \times x = 11 \times 9.7
\][/tex]
[tex]\[
3x = 106.7
\][/tex]
4. Divide to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{106.7}{3}
\][/tex]
[tex]\[
x \approx 35.5667
\][/tex]
The actual length of the trail is approximately 35.6 kilometers.
So, the correct choice is 35.6 km.
Thank you for reading the article Use a proportion to solve the problem On a map the length of a nature center trail is 9 7 centimeters If the scale is. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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