Yes, you can determine how long Jordyn has been driving if you know the distance she has driven. Since Jordyn drives at a constant speed of 50 miles per hour, the relationship between distance, time, and speed can be expressed using the formula:
\[ d = r \times t \]
where:
- \( d \) is the distance in miles,
- \( r \) is the rate of speed in miles per hour (which is 50 mph in this case),
- \( t \) is the time in hours.
You can rearrange this formula to express time \( t \) as a function of distance \( d \):
\[ t = \frac{d}{r} \]
Substituting the constant speed of 50 miles per hour:
\[ t = \frac{d}{50} \]
This tells us that the time \( t \) is a function of the distance \( d \). In other words, knowing the distance allows you to calculate the time spent driving using this formula.
So, in a function notation format, you can say:
\[ t(d) = \frac{d}{50} \]
This clearly shows that time \( t \) is a function of distance \( d \).
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