Answer :
To solve the problem of determining which equation represents Susan's driving scenario, let's analyze the given information:
Susan drives her car at an average speed of [tex]\( s \)[/tex] miles per hour for [tex]\( t \)[/tex] hours, and she travels a total distance of 215 miles.
The relationship between speed, time, and distance is given by the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
In this scenario, the formula becomes:
[tex]\[ 215 = s \times t \][/tex]
This equation shows that the total distance (215 miles) is the product of the average speed ([tex]\( s \)[/tex] miles per hour) and the time ([tex]\( t \)[/tex] hours) she spends driving.
Given the options:
1. [tex]\( s \times t = 215 \)[/tex]
2. [tex]\( 215 + t = s \)[/tex]
3. [tex]\( \frac{s}{t} = 215 \)[/tex]
4. [tex]\( s + t = 215 \)[/tex]
The correct equation that represents the information provided in the problem is:
[tex]\[ s \times t = 215 \][/tex]
This choice correctly reflects the relationship between speed, time, and distance for Susan's journey.
Susan drives her car at an average speed of [tex]\( s \)[/tex] miles per hour for [tex]\( t \)[/tex] hours, and she travels a total distance of 215 miles.
The relationship between speed, time, and distance is given by the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
In this scenario, the formula becomes:
[tex]\[ 215 = s \times t \][/tex]
This equation shows that the total distance (215 miles) is the product of the average speed ([tex]\( s \)[/tex] miles per hour) and the time ([tex]\( t \)[/tex] hours) she spends driving.
Given the options:
1. [tex]\( s \times t = 215 \)[/tex]
2. [tex]\( 215 + t = s \)[/tex]
3. [tex]\( \frac{s}{t} = 215 \)[/tex]
4. [tex]\( s + t = 215 \)[/tex]
The correct equation that represents the information provided in the problem is:
[tex]\[ s \times t = 215 \][/tex]
This choice correctly reflects the relationship between speed, time, and distance for Susan's journey.
