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 tracks his progress by adding 0.5 every week.
2.5 + 0.5 = 3.0
3.0 + 0.5 = 3.5
⋮
9.5 + 0.5 = 10

Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply.

a. 0.5x + 2.5 = 10
b. 0.5 – 2.5 = 10x
c. 10 = 2.5 + 0.5x
d. 2.5x + 0.5 = 10
e. 2.5x – 0.5 = 10

Answer 1

a. c.

Explanation:

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 tracks his progress by adding 0.5 every week.

2.5 + 0.5 = 3.0

3.0 + 0.5 = 3.5

⋮

9.5 + 0.5 = 10

Which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take Hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? Select all that apply.

→0.5x + 2.5 = 10

0.5 – 2.5 = 10x

→10 = 2.5 + 0.5x

2.5x + 0.5 = 10

2.5x – 0.5 = 10

Answer 2

a. 0.5x + 2.5 = 10

and

c. 10 = 2.5 + 0.5x

hope this helps :)