Question

The first-, second-, and third-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 s(x) Third Year t(x)
2009 785 756 756
2010 740 785 740
2011 690 710 781
2012 732 732 710
2013 781 755 800


Which of the following statements is true based on the data in the table?
The solution to f(x) = s(x) is x = 2,009.
The solution to f(x) = s(x) is x = 785.
The solution to f(x) = t(x) is x = 2,010.
The solution to f(x) = t(x) is x = 740.

Answer 1

2010 because it has the same y value

Explanation:

Answer 2

The solution to f(x) = t(x) is x = 2010

Option 3 is true.

Explanation:

The first-year , second-year , and third-year enrollment values for a technical school are shown in the table below.

Year (x) First Year f(x) Second Year s(x) Third Year t(x)

2009 785 756 756

2010 740 785 740

2011 690 710 781

2012 732 732 710

2013 781 755 800

Now we will check each option.

Option 1: The solution to f(x) = s(x) is x = 2,009

In year 2009, f(x)=s(x)

But 785≠756

Thus, False

Option 2: The solution to f(x) = s(x) is x = 785

x represents year, but 785 it no year

Thus, False

Option 3: The solution to f(x) = t(x) is x = 2010

In year 2010, f(x)=t(x)=740

But 740=740

Thus, True

Option 4: The solution to f(x) = t(x) is x =740

x represents year, but 740 it no year

Thus, False