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 I is the time in hours to
represent the motion of the faster car. (1 point)
For Road 1, the car can go 60 miles in 2 hours. Therefore, the rate at which the car is traveling is 60 miles/2 hours = 30 miles/hour. We can represent this as:
Distance (y) = Rate (30 miles/hour) * Time (I) = 30I
For Road 2, the car can go 90 miles in 4 hours. Therefore, the rate at which the car is traveling is 90 miles/4 hours = 22.5 miles/hour. We can represent this as:
Distance (y) = Rate (22.5 miles/hour) * Time (I) = 22.5I
Since we want to represent the motion of the faster car, we would use the equation for Road 1, where the rate is 30 miles/hour.