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2024 AMC 8 Question 23

AMC8 · 2024 AMC 8

Question 23

Rodrigo has a very large piece of graph paper. First he draws a line segment connecting point $(0, 4)$ to point $(2, 0)$ and colors the $4$ cells whose interiors intersect the segment, as shown below. Next, Rodrigo draws a line segment connecting point $(2000, 3000)$ to point $(5000, 8000).$ Again he colors the cells whose interiors intersect the segment. How many cells will he color this time?

Question illustration
  1. $6000$
  2. $6500$
  3. $7000$
  4. $7500$
  5. $8000$