1. **State the problem:** We are given the sequence 95, 80, 65, 50, ... and need to find the function $a(n)$ that represents this sequence. 2. **Identify the pattern:** The sequence decreases by 15 each time: $$80 - 95 = -15, \quad 65 - 80 = -15, \quad 50 - 65 = -15.$$ This suggests a linear function with a common difference of $-15$. 3. **General form of an arithmetic sequence:** $$a(n) = a_1 + (n-1)d,$$ where $a_1$ is the first term and $d$ is the common difference. 4. **Plug in values:** $$a_1 = 95, \quad d = -15,$$ so $$a(n) = 95 + (n-1)(-15) = 95 - 15(n-1).$$ 5. **Simplify:** $$a(n) = 95 - 15n + 15 = -15n + 110.$$ 6. **Check with given options:** The function that matches is $$a(n) = -15n + 110.$$ 7. **Verify with terms:** For $n=1$, $$a(1) = -15(1) + 110 = 95,$$ for $n=2$, $$a(2) = -15(2) + 110 = 80,$$ which matches the sequence. **Final answer:** $$a(n) = -15n + 110.$$