Answer:
As per the statement:
Sarah drove 40 miles per hour in 3 hours, Sarah drove 120 miles.
Since, speed(s) is proportional to time(t)
Using Inverse proportional.
[tex]s \propto \frac{1}{t}[/tex]
⇒[tex]s = \frac{d}{t}[/tex], where, d is the constant distance
We can write this as:
[tex]st = d[/tex]
or
[tex]d = st[/tex]
Check:
Sarah drove 40 miles per hour in 3 hours
⇒s = 40 miles per hour and t = 3 hours
then;
[tex]d= 40 \cdot 3 = 120 miles[/tex]
⇒Sarah drove 120 miles.
therefore, a valid proportion to represent the problem is, [tex]d = st[/tex]
