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Each student in Mr. Ricardo's class has one camera that holds 320 pictures. He asks each student to delete 
(1)/(4) of the pictures and turn in the rest. Which of the following functions best represents the number of pictures, 
p, that 
Mr. Ricardo will collect depending on the number of cameras, 
c, that his students have?
Choose 1 answer:
(A) 
p=80 c
(B) 
p=160 c
(C) 
p=240 c
(D) 
p=320 c

Each student in Mr. Ricardo's class has one camera that holds 320320 pictures. He asks each student to delete 14 \frac{1}{4} of the pictures and turn in the rest. Which of the following functions best represents the number of pictures, p p , that Mr \mathrm{Mr} . Ricardo will collect depending on the number of cameras, c c , that his students have?\newlineChoose 11 answer:\newline(A) p=80c p=80 c \newline(B) p=160c p=160 c \newline(C) p=240c p=240 c \newline(D) p=320c p=320 c

Full solution

Q. Each student in Mr. Ricardo's class has one camera that holds 320320 pictures. He asks each student to delete 14 \frac{1}{4} of the pictures and turn in the rest. Which of the following functions best represents the number of pictures, p p , that Mr \mathrm{Mr} . Ricardo will collect depending on the number of cameras, c c , that his students have?\newlineChoose 11 answer:\newline(A) p=80c p=80 c \newline(B) p=160c p=160 c \newline(C) p=240c p=240 c \newline(D) p=320c p=320 c
  1. Determine Initial Number: Determine the initial number of pictures per camera and the fraction that needs to be deleted.\newlineEach camera holds 320320 pictures, and each student is asked to delete 14\frac{1}{4} of their pictures.
  2. Calculate Deleted Pictures: Calculate the number of pictures deleted per camera.\newlineTo find out how many pictures are deleted per camera, multiply the total number of pictures by the fraction that needs to be deleted.\newlinePictures deleted per camera = 320×(14)=80320 \times \left(\frac{1}{4}\right) = 80.
  3. Calculate Remaining Pictures: Calculate the number of pictures remaining per camera after deletion.\newlineSubtract the number of pictures deleted from the total number of pictures to find out how many pictures are left.\newlinePictures remaining per camera = 32080=240320 - 80 = 240.
  4. Determine Total Number Function: Determine the function that represents the total number of pictures Mr. Ricardo will collect.\newlineThe function will be the number of pictures remaining per camera multiplied by the number of cameras cc.\newlinep=240×cp = 240 \times c.

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