Hector is training for a race that is 10 kilometers long. On Saturday he ran 2.5 km. He plans to add 0.5 km to his distance every Saturday.
Hector's Calculations:
2.5 + 0.5 = 3.0 6.5 + 0.5 = 7.0
3.0 + 0.5 = 3.5 7.0 + 0.5 = 7.5
3.5 + 0.5 = 4.0 7.5 + 0.5 = 8.0
4.0 + 0.5 = 4.5 8.0 + 0.5 = 8.5
4.5 + 0.5 = 5.0 8.5 + 0.5 = 9.0
5.0 + 0.5 = 6.0 9.0 + 0.5 = 9.5
6.0 + 0.5 = 6.5 9.5 + 0.5 = 10.0
The equation equivalent to Hector’s calculations is 2.5 + 0.5x = 10. Use either of these methods to determine how many weeks it will take Hector to reach his goal of a 10 kilometer run.?

Question

Hector is training for a race that is 10 kilometers long. On Saturday he ran 2.5 km. He plans to add 0.5 km to his distance every Saturday.
Hector's Calculations:
2.5 + 0.5 = 3.0 6.5 + 0.5 = 7.0
3.0 + 0.5 = 3.5 7.0 + 0.5 = 7.5
3.5 + 0.5 = 4.0 7.5 + 0.5 = 8.0
4.0 + 0.5 = 4.5 8.0 + 0.5 = 8.5
4.5 + 0.5 = 5.0 8.5 + 0.5 = 9.0
5.0 + 0.5 = 6.0 9.0 + 0.5 = 9.5
6.0 + 0.5 = 6.5 9.5 + 0.5 = 10.0
The equation equivalent to Hector’s calculations is 2.5 + 0.5x = 10. Use either of these methods to determine how many weeks it will take Hector to reach his goal of a 10 kilometer run.?