Let f(x)=a x^{2}+b x+c, where a, b, and c are integers. Suppose that f(1)=0, 50<f(7)<60,70<f(8)<80, and 5000 k<f(100)<5000(k+1) for some integer k. What is k ?
Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5
Let f(x)=a x^{2}+b x+c, where a, b, and c are integers. Suppose that f(1)=0, 50<f(7)<60,70<f(8)<80, and 5000 k<f(100)<5000(k+1) for some integer k. What is k ?
Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5