X.ACTO. Sharpen up! EQAO is happening and nobody has pencils, so I need 120 pencils. I find 10 sharpened pencils but now need to sharpen 110 more There is an electric pencil sharpener that sharpens 4 pencils per minute. But that seems slow so I consider using the manual crank pencil sharpener. With the crank sharpener I can start out quickly, but slow down as I get tired. The equation representing the pencils sharpened after x minutes by the crank sharpener is given by c(x) = 10 + v400x The graph below shows the comparison between these two methods. 130- $20..T 100 Sharp Pencil 190 80 70- 60 50 40 30- Minutes 12 1,4 16 18 20 2:2 24 26 28 30 1) I need 120 sharp pencils as quickly as possible. What is the best strategy? How long will it take me? Follow-up questions. 2) If I had a pencil sharpener that sharpened 5 pencils per minute, does that change my strategy? How quickly can I get my 120 sharp pencils? 3) Another person, Dave, has an option of using the electric sharpener that sharpens 4 pencils per minute or the crank. His equation to represent how many pencils he's sharpened with the cran is given by d(x) = 12vx2. How quickly can Dave get to the required 120 sharp pencils