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)
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1 answer

For Road 1, the car can go 60 miles in 2 hours, so the rate of motion is 60 miles / 2 hours = 30 miles/hour.

For Road 2, the car can go 90 miles in 4 hours, so the rate of motion is 90 miles / 4 hours = 22.5 miles/hour.

Since we want to represent the motion of the faster car, we will use the rate of motion of Road 1, which is 30 miles/hour.

Therefore, the equation is:

y = 30x