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?

Answer 1

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.