If r times x is equal to 3 x minus 1 and s times x is equal to 2 x plus 1 , which expression is equivalent to open paren r over s close paren times 6 ?
Answer
A
the fraction with numerator 6 minus 1 and denominator 6 plus 1
B
the fraction with numerator 36 minus 1 and denominator 26 plus 1
C
the fraction with numerator 6 and denominator 2 times 6 plus 1
D
the fraction with numerator 3 times 6 minus 1 and denominator 2 times 6 plus 1
Explanation
Evaluate each function at x = 6: r(6) = 3(6) − 1 and s(6) = 2(6) + 1. Therefore, (r/s)(6) = [3(6) − 1]/[2(6) + 1], which matches the fraction with numerator 3 times 6 minus 1 and denominator 2 times 6 plus 1.
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