Question
a person standing on a moving walkway travels 75 feet in 25 seconds. what equation represents this relationship? how many feet will the person travel in 10 seconds
Answers
GPT-4o mini
To represent the relationship between the distance traveled \( d \), time \( t \), and the speed of the person on the moving walkway, we can determine the speed first.
The person travels 75 feet in 25 seconds, so we can calculate their speed using the formula for speed:
\[
\text{speed} = \frac{\text{distance}}{\text{time}} = \frac{75 \text{ feet}}{25 \text{ seconds}} = 3 \text{ feet/second}
\]
Now, we can express the relationship using the equation for distance, which is given by:
\[
d = r \cdot t
\]
Where:
- \( d \) is the distance traveled,
- \( r \) is the speed (3 feet/second),
- \( t \) is the time in seconds.
Therefore, the equation that represents the relationship is:
\[
d = 3t
\]
To find out how many feet the person will travel in 10 seconds, we can substitute \( t = 10 \) seconds into the equation:
\[
d = 3 \cdot 10 = 30 \text{ feet}
\]
In conclusion, the person will travel **30 feet** in 10 seconds.
The person travels 75 feet in 25 seconds, so we can calculate their speed using the formula for speed:
\[
\text{speed} = \frac{\text{distance}}{\text{time}} = \frac{75 \text{ feet}}{25 \text{ seconds}} = 3 \text{ feet/second}
\]
Now, we can express the relationship using the equation for distance, which is given by:
\[
d = r \cdot t
\]
Where:
- \( d \) is the distance traveled,
- \( r \) is the speed (3 feet/second),
- \( t \) is the time in seconds.
Therefore, the equation that represents the relationship is:
\[
d = 3t
\]
To find out how many feet the person will travel in 10 seconds, we can substitute \( t = 10 \) seconds into the equation:
\[
d = 3 \cdot 10 = 30 \text{ feet}
\]
In conclusion, the person will travel **30 feet** in 10 seconds.