Final answer:
Mike can cover the kitchen backsplash with a length of 9 meters using the 60 tiles.
Step-by-step explanation:
To find out how long Mike can cover the backsplash with 60 tiles, we need to multiply the number of tiles by the length of each tile. So, 60 tiles multiplied by 15 cm per tile gives us a total length of 900 cm.
However, it's helpful to convert this length to meters for easier visualization. We can do this by dividing 900 cm by 100, since there are 100 cm in a meter. This gives us a total length of 9 meters.
Therefore, Mike can cover the kitchen backsplash with a length of 9 meters using the given tiles.