Answer :
Sure! Let's solve the question step-by-step:
Susan drives her car at an average speed of [tex]\( s \)[/tex] miles per hour for [tex]\( t \)[/tex] hours and travels 215 miles.
We need to find the equation that represents this information from the given options.
First, we use the fundamental relationship between distance, speed, and time. The formula to calculate distance is:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
In terms of our problem, this can be written as:
[tex]\[
\text{Distance} = s \times t
\][/tex]
We know that Susan traveled 215 miles. So, we can substitute 215 for Distance in the equation:
[tex]\[
s \times t = 215
\][/tex]
This matches the equation provided in the first option:
[tex]\[
st = 215
\][/tex]
Let's confirm by looking at the other options to see if any of them fit, just to be thorough:
1. [tex]\( 215 + t = s \)[/tex]: This does not represent the relationship between distance, speed, and time correctly.
2. [tex]\( \frac{s}{t} = 215 \)[/tex]: This would imply that speed divided by time equals distance, which is incorrect.
3. [tex]\( s + t = 215 \)[/tex]: This implies that the sum of speed and time equals distance, which is not correct.
So the correct equation that represents the given information is:
[tex]\[
st = 215
\][/tex]
Thus, the correct answer from the given options is:
[tex]\[
st = 215
\][/tex]
Susan drives her car at an average speed of [tex]\( s \)[/tex] miles per hour for [tex]\( t \)[/tex] hours and travels 215 miles.
We need to find the equation that represents this information from the given options.
First, we use the fundamental relationship between distance, speed, and time. The formula to calculate distance is:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
In terms of our problem, this can be written as:
[tex]\[
\text{Distance} = s \times t
\][/tex]
We know that Susan traveled 215 miles. So, we can substitute 215 for Distance in the equation:
[tex]\[
s \times t = 215
\][/tex]
This matches the equation provided in the first option:
[tex]\[
st = 215
\][/tex]
Let's confirm by looking at the other options to see if any of them fit, just to be thorough:
1. [tex]\( 215 + t = s \)[/tex]: This does not represent the relationship between distance, speed, and time correctly.
2. [tex]\( \frac{s}{t} = 215 \)[/tex]: This would imply that speed divided by time equals distance, which is incorrect.
3. [tex]\( s + t = 215 \)[/tex]: This implies that the sum of speed and time equals distance, which is not correct.
So the correct equation that represents the given information is:
[tex]\[
st = 215
\][/tex]
Thus, the correct answer from the given options is:
[tex]\[
st = 215
\][/tex]
