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Answer :
Certainly! Let's break down the problem step by step.
The problem provides the following information about Susan's car trip:
1. Average Speed: Susan drives at an average speed of [tex]\( s \)[/tex] miles per hour.
2. Time Driven: She drives for [tex]\( t \)[/tex] hours.
3. Distance: She travels a distance of 215 miles.
We need to find an equation that represents this information accurately.
Step 1: Recall the Formula for Distance
The basic formula that relates distance, speed, and time is:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Step 2: Apply Given Values to the Formula
From the problem:
- The speed is [tex]\( s \)[/tex] miles per hour.
- The time is [tex]\( t \)[/tex] hours.
- The total distance is 215 miles.
Substituting these values into the formula, we get:
[tex]\[ \text{Distance} = s \times t = 215 \][/tex]
Step 3: Identify the Correct Equation
Now, compare this derived equation with the given choices:
1. [tex]\( s \times t = 215 \)[/tex]
This matches our derived equation.
2. [tex]\( 215 + t = s \)[/tex]
This does not represent the relationship between speed, time, and distance.
3. [tex]\( \frac{s}{t} = 215 \)[/tex]
This does not fit the standard formula for calculating distance.
4. [tex]\( s + t = 215 \)[/tex]
This implies speed plus time equals 215, which is incorrect.
Therefore, the correct equation that represents the given information is:
[tex]\[ s \times t = 215 \][/tex]
This confirms that the equation [tex]\( s \times t = 215 \)[/tex] is the correct representation of the situation.
The problem provides the following information about Susan's car trip:
1. Average Speed: Susan drives at an average speed of [tex]\( s \)[/tex] miles per hour.
2. Time Driven: She drives for [tex]\( t \)[/tex] hours.
3. Distance: She travels a distance of 215 miles.
We need to find an equation that represents this information accurately.
Step 1: Recall the Formula for Distance
The basic formula that relates distance, speed, and time is:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Step 2: Apply Given Values to the Formula
From the problem:
- The speed is [tex]\( s \)[/tex] miles per hour.
- The time is [tex]\( t \)[/tex] hours.
- The total distance is 215 miles.
Substituting these values into the formula, we get:
[tex]\[ \text{Distance} = s \times t = 215 \][/tex]
Step 3: Identify the Correct Equation
Now, compare this derived equation with the given choices:
1. [tex]\( s \times t = 215 \)[/tex]
This matches our derived equation.
2. [tex]\( 215 + t = s \)[/tex]
This does not represent the relationship between speed, time, and distance.
3. [tex]\( \frac{s}{t} = 215 \)[/tex]
This does not fit the standard formula for calculating distance.
4. [tex]\( s + t = 215 \)[/tex]
This implies speed plus time equals 215, which is incorrect.
Therefore, the correct equation that represents the given information is:
[tex]\[ s \times t = 215 \][/tex]
This confirms that the equation [tex]\( s \times t = 215 \)[/tex] is the correct representation of the situation.
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