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 about 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 fastest car
Let's assume that the fastest car is the one that can cover more distance in less time. In this case, we can consider the car traveling on road 2 as the fastest car.
The equation representing the motion of the fastest car would be:
y = (90/4) * x
This equation calculates the distance (y) based on the time (x), where the car can go about 90 miles in 4 hours. By dividing the total distance (90 miles) by the total time (4 hours), we find that the car can travel at an average speed of 22.5 miles per hour. Therefore, multiplying this average speed (22.5) by the time (x), we can calculate the distance covered by the fastest car.
can you write it out
Certainly! Here's the equation written out:
y = (90/4) * x
This equation represents the motion of the fastest car. The value of y represents the distance in miles, while the value of x represents the time in hours.
To calculate the distance traveled (y) at any given time (x), we divide the total distance covered by the fastest car on road 2 (90 miles) by the total time it took to cover that distance (4 hours). This gives us an average speed of 22.5 miles per hour.
By multiplying this average speed (22.5) by the time (x), we can calculate the distance covered by the fastest car.
To write an equation representing the motion of the fastest car, we can use the concept of speed. Speed is defined as distance divided by time.
We know that on road 1, the car can go 60 miles in 2 hours. Using the formula for speed, we can determine that the speed on road 1 is:
Speed = Distance / Time
Speed = 60 miles / 2 hours
On road 1, the speed of the car is 30 miles per hour.
Similarly, on road 2, the car can go about 90 miles in 4 hours. Using the formula for speed:
Speed = Distance / Time
Speed = 90 miles / 4 hours
On road 2, the speed of the car is 22.5 miles per hour.
Since we want to represent the motion of the fastest car, we will use the higher speed, which is 30 miles per hour on road 1.
Therefore, the equation to represent the motion of the fastest car is:
y = 30x
Here, y represents the distance in miles, and x represents the time in hours.