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 of the faster car.(1 point)

1 answer

For Road 1, the car can go 60 miles in 2 hours, so the equation is:

y = 60/2 * x

Simplifying, we get:

y = 30x

For Road 2, the car can go 90 miles in 4 hours, so the equation is:

y = 90/4 * x

Simplifying, we get:

y = 22.5x

Since we want the equation to represent the motion of the faster car, we choose the equation y = 30x.