Greg rode his bicycle at a constant speed of 20 miles per hour. Plot points on the graph to represents the distances Greg rode after 1, 2, 3, and 4 hours (1 hour= 20 miles, 2 hours= 40 miles, 3 hours= 60 miles, 4 hours= 80 hours) Then write an equation to represent the relationship between distances, d, and the time, t.
On your graph on the x-axis, you will have time 1, 2, 3, 4,
On your y-axis put the miles
d = 20t
To plot points on the graph representing the distances Greg rode after 1, 2, 3, and 4 hours, we can use the information given:
- After 1 hour: Distance = 20 miles
- After 2 hours: Distance = 20 miles + 20 miles = 40 miles
- After 3 hours: Distance = 20 miles + 20 miles + 20 miles = 60 miles
- After 4 hours: Distance = 20 miles + 20 miles + 20 miles + 20 miles = 80 miles
Now, let's plot these points on the graph:
- Point 1: (1, 20)
- Point 2: (2, 40)
- Point 3: (3, 60)
- Point 4: (4, 80)
To write an equation to represent the relationship between distances and time, we can use the formula:
d = r * t
where d represents the distance, r represents the rate (speed), and t represents the time.
In this case, Greg's rate (speed) is constant at 20 miles per hour. So the equation becomes:
d = 20t
This equation represents the relationship between the distance Greg rode, d, and the time, t.