Final answer:
The correct alternative expression for the increased membership in the math club, which originally used the expression m + m(0.06), is 1.06m. This equates to a 6% increase in membership and corresponds to option C.
Step-by-step explanation:
The question asks for an alternative expression to the one used by the president of the math club, m + m(0.06), to find the number of members this year after a 6% increase. We are looking for an expression that gives the same result as the original expression.
Firstly, let's simplify the original expression:
m + m(0.06) = m + 0.06m = 1m + 0.06m = (1 + 0.06)m = 1.06m
Therefore, the correct alternative expression that could be used is 1.06m, which corresponds to option C.
Option A (106m) would imply a 10600% increase, which is not correct. Option B (m + 1.06) suggests adding 1.06 to the number of members, which is incorrect since we need to increase by a percentage. Option D (m + 6) implies an increase by 6 members, regardless of the original number of members, which is also incorrect.