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Each student in Mr. Ricardo's class has one camera that holds $320$ pictures. He asks each student to delete $\frac{1}{4}$ 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?

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Write a linear function: word problems

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Q. Each student in Mr. Ricardo's class has one camera that holds

320

pictures. He asks each student to delete

\frac{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?

Determine fraction of pictures: Determine the fraction of pictures each student will keep. Each student deletes $\frac{1}{4}$ of their pictures, so they will keep $\frac{3}{4}$ of their pictures.
Calculate pictures per camera: Calculate the number of pictures kept per camera. $\newline$ Since each camera holds $320$ pictures, and each student keeps $\frac{3}{4}$ of them, we calculate the number of pictures kept per camera as follows: $\newline$ Pictures kept per camera = $320 \times \left(\frac{3}{4}\right)$
Perform calculation: Perform the calculation from Step $2$ . $\newline$ Pictures kept per camera = $320 \times \left(\frac{3}{4}\right) = 240$ $\newline$ Each camera will have $240$ pictures after the students delete $\frac{1}{4}$ of them.
Write total pictures function: Write the function that represents the total number of pictures Mr. Ricardo will collect. $\newline$ Let $p$ be the total number of pictures collected and $c$ be the number of cameras. $\newline$ Since each camera contributes $240$ pictures, the function is: $\newline$ $p = 240c$

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