The distance that Carl has driven is varying directly with the time he has been on the road. After two hours, he has driven a total of 124 km. How far will he have driven after 5 hours?
d = kt
124 = k(2)
k = 62
d = 62t
d(5) = 62*5 = 310
Or, you can say that since 5 is 5/2 * 2, the new d will be 5/2 * 124 = 310
To find out how far Carl will have driven after 5 hours, we need to determine the proportionality constant in the direct variation equation.
In this case, the distance that Carl has driven is varying directly with the time he has been on the road. We can express this relationship using the formula:
Distance = Constant × Time
Let's represent the constant with the letter "k". Now we have:
Distance = k × Time
We are given that after two hours, Carl has driven a total of 124 km. Substituting the values into the equation:
124 km = k × 2 hours
Now, we need to solve for k. Divide both sides of the equation by 2:
124 km / 2 hours = k
62 km/h = k
Now we know the value of the constant k, which is 62 km/h.
To determine how far Carl will have driven after 5 hours:
Distance = k × Time
Distance = 62 km/h × 5 hours
Distance = 310 km
Therefore, Carl will have driven a total of 310 km after 5 hours.