Final answer:
The correct equation representing the statement is 226 = 130f + 34, which matches option b.
Step-by-step explanation:
An equation is a mathematical statement that asserts the equality of two expressions. The left side and the right side of the equal sign represent different mathematical expressions, and the equation states that these two expressions are equivalent.
The equation representing the statement '226 is the same as 34 more than the quantity 130 times f' can be written in algebraic form. This translates to 226 being equal to 130 times the variable f, plus an additional 34. Therefore, the correct equation is:
226 = 130f + 34
Among the given options, the correct choice is:
b. 226 = 130f + 34