The equation y=6/20x describes the number of kilometers y that a van travels in x minutes. What is the constant speed of the van in terms of hours?
To find the constant speed of the van in terms of hours, we need to convert the time from minutes to hours.
Since 1 hour = 60 minutes, we can convert x minutes to hours by dividing x by 60:
x hours = x minutes / 60
Now, we can rewrite the equation in terms of hours:
y = (6/20)(x/60)
Simplifying, we get:
y = (1/10)(x/60)
Now, the constant speed of the van can be represented as:
Speed = Distance / Time
Speed = y / x hours
Substitute the equation for y from above:
Speed = (1/10)(x/60) / (x/60)
Speed = 1/10
Therefore, the constant speed of the van is 1/10 kilometers per hour.