Final answer:
To find the value of n in the ratio 1:n equivalent to 2.5 meters to 60 centimeters, we convert 2.5 meters to 250 centimeters and then divide by 60 to get 4.166..., which rounds to n = 4. Thus, the ratio is 1:4.
Step-by-step explanation:
The ratio of 2.5 meters to 60 centimeters needs to be expressed as 1:n. To do this, first we must make sure both measurements are in the same unit. There are 100 centimeters in a meter, so 2.5 meters is equal to 250 centimeters. We then divide this value by 60 centimeters to find n.
250 cm / 60 cm = 4.166...
Since the options are whole numbers, we can round this to the nearest whole number, which is 4. Therefore, n = 4.
The ratio 1:n is therefore written as 1:4.