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 and equation where y is the distance in miles and x is the time in hours to represent the motion of the faster car.

Answer 1

For road 1, the equation relating the distance (y) and time (x) is:
y = 60x/2

For road 2, the equation relating the distance (y) and time (x) is:
y = 90x/4

Since the car on road 2 is faster, we will use the equation for road 2, which can be simplified to:
y = 22.5x

Answer 2

Wrong

Answer 3

Apologies for the mistake. Since the car on Road 2 is faster, we will use its equation to represent the motion of the faster car.

Let's denote the distance traveled in miles as "y" and the time taken in hours as "x". The equation representing the motion of the car on Road 2 can be written as:

y = 90x/4

To simplify the equation, we can divide both the numerator and denominator by 2:

y = 45x/2

Further simplifying, we can divide both the numerator and denominator by 5:

y = 9x/0.4

This equation can be written as:

y = 22.5x

Therefore, the equation representing the motion of the faster car is y = 22.5x.