College

Susan drives her car at an average speed of [tex]$s$[/tex] miles per hour for [tex]$t$[/tex] hours and travels 215 miles. Which of the following equations represents this information?

A. [tex]s \cdot t = 215[/tex]

B. [tex]215 + t = s[/tex]

C. [tex]\frac{s}{t} = 215[/tex]

D. [tex]s + t = 215[/tex]

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.