Question

The graph below shows the relationship between time and distance traveled by a race car moving at a

constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answer 1

Based on the graph, it took the race car 2.4 hours to travel 480 miles.

Here are the steps:

Step 1: I identify the point on the graph where the distance traveled is 480 miles. This point is located slightly above the 480-mile mark on the y-axis, and intersects the line at a point slightly past the 2.4-hour mark on the x-axis.

Step 2: Note that the line is straight, which means the race car was traveling at a constant speed.

Step 3: Observe that the distance traveled increases by 100 miles for every 0.5 hours. This means the race car's speed is 100 miles per 0.5 hours, or 200 miles per hour.

Therefore, it took the race car 2.4 hours (2.4 x 0.5 hours) to travel 480 miles (2.4 x 100 miles).

Answer 2

It takes 2.4 hours to travel 480 miles.

Explanation:

From the graph race car is moving at 100 miles in 0.5 hours. So, in 1 hour, car could travel 2*100 =200 miles per hour.

So, we can set up equation as

y= 200x.

Plug in y as 480 then solve for x.

480 =200x

Divide both sides by 200

2.4=x

So, it would take 2.4 hours.