Question

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

Answer 1

The equation for the faster car is y = 30x.

Step-by-step explanation:

To represent the motion of the faster car, we need to find an equation that relates the distance traveled (y) to the time elapsed (x) for that car.

We can use the information given about the two roads to find the equation.

On Road 1, the car can go 60 miles in 2 hours.

So, the equation for Road 1 is y = (60/2)x, which simplifies to y = 30x.

On Road 2, the car can go 90 miles in 4 hours.

So, the equation for Road 2 is y = (90/4)x, which simplifies to y = 22.5x.

Since we're looking for the equation for the faster car, we use the equation for Road 1: y = 30x.