The function "nt=225" models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work.
Explanation:
We can see from the table that it takes 225 minutes if only 1 student volunteers to remove the debris.
However, when 3 students volunteer, the time taken reduces to 75 minutes.
And it reduces further to 45 minutes and 16 minutes as the number of students increases to 5 and 14 respectively.
This shows that higher the number of volunteers, lesser the total time it takes it remove the debris.
In order to find out the correct function out of the option below, we need to substitute the values of n and t from the given data [i.e. (1,225), (3,75), (5,45), 14,16)] in each of the 4 functions given below and see if the equation is satisfied each time.
When we do that, we arrive at the conclusion that the function nt=225 is the correct function.
In simple words, the function nt=225 will be true for all values of n and t from the given data.
