(a) Setting A(w)=458, we get:
Subtracting 800 from the above equation we get:
Dividing the above equation by -18 we get:
Therefore Omar has been saving for 19 weeks.
(b) Recall that to evaluate a function at a given value, we substitute the variable by the given value.
Evaluating A(w) at w=5 we get:
Simplifying the above result we get:
Answer:
(a) 19.
(b) $710.