Question

1. 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 = 2,012.
The solution to f(x) = s(x) is x = 732.
The solution to s(x) = t(x) is x = 2,011.
The solution to s(x) = t(x) is x = 710.

2. A graph of 2 functions is shown below.

graph of function f of x equals 2 multiplied by x plus 1 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

Which of the following is an approximate solution for f(x) = g(x)?

x = −2
x = 0
x = −1
x = 1

Answer 1

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1. Among the choices provided above the statements is true based on the data in the table is The solution to f(x) = s(x) is x = 2,012.

2. Among the choices provided above that one that is an approximate solution for f(x) = g(x) is x = −1

Answer 2

Based on the frequency table, we can deduce that the true statement is that: A. the solution to f(x) = s(x) is x = 2,012.

What is a frequency table?

A frequency table refers to a type of table that is used to graphically display the frequencies or relative frequencies associated with any categorical variable.

Based on the frequency table, we can deduce that the true statement is that the solution (732) to First Year f(x) and Second Year s(x) are equal, which is given by x equal to 2,012.

In order to find an approximate solution for f(x) = g(x), we would determine the point at which the two lines on the graph intersects and this is approximately at point x = -1.

Read more on frequency table here: https://brainly.com/question/20744563

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