Question

The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical School Year (x) First Year f(x) Second Year t(x) 2009 785 756 2010 740 740 2011 690 781 2012 732 710 2013 781 800 Which of the following statements is true based on the data in the table? The solution to f(x) = t(x) is x = 2009. The solution to f(x) = t(x) is x = 785. The solution to f(x) = t(x) is x = 2010. The solution to f(x) = t(x) is x = 740.

Answer 1

D. The solution to f(x) = t(x) is x = 740.

Explanation:

We can see that in the graph that you have not posted at 2010, both years have the same amount of enrolled students (740) thus making, at that point f(x) equal to t(x).

Answer 2

x = 2010

Explanation:

It is difficult separating and organizing the data. The best I can see is that the question is asking what is the value of x to make f(x) = t(x) true. x = 2010 is a year in which enrollment was the same, 740, in both f and t.