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 where  y
is the distance in miles and  x is the time in hours to represent the motion of the faster car.(1 point)
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Answer 1

For Road 1, the car travels at a rate of 60 miles in 2 hours. We can write this as the equation:

$$\frac{60}{2} = \frac{y}{x}$$

For Road 2, the car travels at a rate of 90 miles in 4 hours. We can write this as the equation:

$$\frac{90}{4} = \frac{y}{x}$$

Since we want to represent the motion of the faster car, we will use the equation for Road 2, which yields:

$$\frac{90}{4} = \frac{y}{x}$$