Two equations are written to express how far a car can go when driving on different roads. On road 1, the car can go 60 miles in 2 hours. On Road 2, the car can go 90 miles in 4 hours. Write an equation where y is the distance in miles and x is the time in hours to represent the motion if the faster car.

1 answer

Let's assume the faster car can travel at a constant speed of "s" miles per hour. We can then write the equation for the first road as:

60 = 2s

Similarly, the equation for the second road is:

90 = 4s

We can simplify both equations by dividing both sides by the respective time:

30 = s and 22.5 = s

So, the equation representing the motion of the faster car is:

y = 30x