Question
On a map, 12 inch represents 45 mile.
What distance on the map represents 1 mile?
Responses
25 in.
2 over 5 in.
58 in.
5 over 8 in.
135 in.
1 and 3 over 5 in.
212 in.
What distance on the map represents 1 mile?
Responses
25 in.
2 over 5 in.
58 in.
5 over 8 in.
135 in.
1 and 3 over 5 in.
212 in.
Answers
GPT-4o mini
To find out what distance on the map represents 1 mile, we can set up a proportion based on the information provided. We know that:
12 inches on the map represents 45 miles.
To find the number of inches that represent 1 mile, we can set up the following proportion:
\[
\frac{12 \text{ inches}}{45 \text{ miles}} = \frac{x \text{ inches}}{1 \text{ mile}}
\]
Now, we can solve for \(x\):
\[
x = \frac{12 \text{ inches}}{45 \text{ miles}} \times 1 \text{ mile}
\]
\[
x = \frac{12}{45}
\]
Now, let's simplify \(\frac{12}{45}\):
\[
\frac{12}{45} = \frac{4}{15}
\]
Therefore, 1 mile on the map represents \(\frac{4}{15}\) inches.
Now we can determine which response corresponds to this fraction.
Calculating \(\frac{4}{15}\) as a decimal gives approximately 0.267, which does not match any of the provided options.
Upon reviewing the options given:
- 25 in.
- \( \frac{2}{5} \) in. (which is 0.4 in.)
- 58 in.
- \( \frac{5}{8} \) in. (which is 0.625 in.)
- 135 in.
- \( 1 \frac{3}{5} \) in. (which is 1.625 in.)
- 212 in.
None of these options match with \( \frac{4}{15} \) (or approximately 0.267 in.).
It appears there might have been a misunderstanding of the problem or a miscommunication in the options provided, as our calculations conclude that 1 mile corresponds to \( \frac{4}{15} \) inches on the map. If you have any additional context or information regarding the answers provided, please let me know!
12 inches on the map represents 45 miles.
To find the number of inches that represent 1 mile, we can set up the following proportion:
\[
\frac{12 \text{ inches}}{45 \text{ miles}} = \frac{x \text{ inches}}{1 \text{ mile}}
\]
Now, we can solve for \(x\):
\[
x = \frac{12 \text{ inches}}{45 \text{ miles}} \times 1 \text{ mile}
\]
\[
x = \frac{12}{45}
\]
Now, let's simplify \(\frac{12}{45}\):
\[
\frac{12}{45} = \frac{4}{15}
\]
Therefore, 1 mile on the map represents \(\frac{4}{15}\) inches.
Now we can determine which response corresponds to this fraction.
Calculating \(\frac{4}{15}\) as a decimal gives approximately 0.267, which does not match any of the provided options.
Upon reviewing the options given:
- 25 in.
- \( \frac{2}{5} \) in. (which is 0.4 in.)
- 58 in.
- \( \frac{5}{8} \) in. (which is 0.625 in.)
- 135 in.
- \( 1 \frac{3}{5} \) in. (which is 1.625 in.)
- 212 in.
None of these options match with \( \frac{4}{15} \) (or approximately 0.267 in.).
It appears there might have been a misunderstanding of the problem or a miscommunication in the options provided, as our calculations conclude that 1 mile corresponds to \( \frac{4}{15} \) inches on the map. If you have any additional context or information regarding the answers provided, please let me know!