Final answer:
To find the value of k, substitute the given values of m, r, and b into the equation k = m(2r + (m-1)b). The value of k is 1890.
Step-by-step explanation:
To find the value of k, we can substitute the given values of m, r, and b into the equation k = m(2r + (m-1)b).
Substituting m=27, r=9, and b=2 into the equation, we get:
k = 27(2(9) + (27-1)(2)) = 27(18 + 26(2)) = 27(18 + 52) = 27(70) = 1890.
Therefore, the value of k is 1890.