Answer:
1) The function that represents how the money in her suit case is s(x) = 450
The function that represents the amount she is able to make from baby sitting is a(x) = 6(x - 2)
Given that the values of the two function are the same units, dollars, and the amount are to be put to the same use for spending money for her first year of college, the combination of the two functions is the sum of their values given as follows;
f(x) = s(x) + a(x) = 450 + 6(x - 2)
2) For simplification, we expand the second term and add the constant terms as follows;
f(x) = 450 + 6·x - 12
f(x) = 450 + 6·x - 12
f(x) = 438 + 6·x
The sum of the two terms becomes, f(x) = 438 + 6·x
