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

C. 10 = 2.5 + 0.5x

Step-by-step explanation:

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

Total distance Hector covers = 10 km

Distance he has covered = 2.5 km

Distance he covers per week = 0.5 km

Let

x = number of weeks

The equation is given by

2.5 + 0.5x = 10

It can also be written as:

10 = 2.5 + 0.5x

10 - 2.5 = 0.5x

7.5 = 0.5x

x = 7.5/0.5

x = 15 weeks