hey bot 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)

8 answers

The equation that represents the motion of the faster car can be written as:

y = mx

Given that the car on Road 1 can go 60 miles in 2 hours, we can find the rate of motion (m) as follows:

m = y / x = 60 miles / 2 hours = 30 miles/hour

Therefore, the equation representing the motion of the faster car would be:

y = 30x
nope
Apologies for the incorrect response earlier. Let's reassess the problem.

To represent the motion of the faster car, we need to determine the rate at which it travels. We can do this by calculating the average speed using the given information.

On Road 1, the car can go 60 miles in 2 hours. Therefore, the average speed on Road 1 is 60 miles / 2 hours = 30 miles per hour.

On Road 2, the car can go 90 miles in 4 hours. Therefore, the average speed on Road 2 is 90 miles / 4 hours = 22.5 miles per hour.

Since the faster car would have a higher average speed, we will use the speed of 30 miles per hour from Road 1 to represent its motion.

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

y = 30x

where y is the distance in miles and x is the time in hours.
correct
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