To find the x-intercept(s) of the function \( A = -w^2 + 60w \), we need to set the area \( A \) equal to zero and solve for \( w \):
\[ 0 = -w^2 + 60w \]
Rearranging this, we have:
\[ w^2 - 60w = 0 \]
Next, we can factor out \( w \):
\[ w(w - 60) = 0 \]
Setting each factor to zero gives us:
- \( w = 0 \)
- \( w - 60 = 0 \) which leads to \( w = 60 \)
Thus, the x-intercepts are \( (0, 0) \) and \( (60, 0) \).
Looking at the provided options, the correct choice that lists these intercepts is:
b. (0, 0) and (60, 0).