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 $\mathrm{Mr}$ . Ricardo will collect depending on the number of cameras, $c$ , that his students have? $\newline$ Choose $1$ answer: $\newline$ (A) $p=80 c$ $\newline$ (B) $p=160 c$ $\newline$ (C) $p=240 c$ $\newline$ (D) $p=320 c$

Full solution

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

\mathrm{Mr}

. Ricardo will collect depending on the number of cameras,

c

, that his students have?

\newline

Choose

1

answer:

\newline

(A)

p=80 c

\newline

(B)

p=160 c

\newline

(C)

p=240 c

\newline

(D)

p=320 c

Determine Initial Number: Determine the initial number of pictures per camera and the fraction that needs to be deleted. $\newline$ Each camera holds $320$ pictures, and each student is asked to delete $\frac{1}{4}$ of their pictures.
Calculate Deleted Pictures: Calculate the number of pictures deleted per camera. $\newline$ To find out how many pictures are deleted per camera, multiply the total number of pictures by the fraction that needs to be deleted. $\newline$ Pictures deleted per camera = $320 \times \left(\frac{1}{4}\right) = 80$ .
Calculate Remaining Pictures: Calculate the number of pictures remaining per camera after deletion. $\newline$ Subtract the number of pictures deleted from the total number of pictures to find out how many pictures are left. $\newline$ Pictures remaining per camera = $320 - 80 = 240$ .
Determine Total Number Function: Determine the function that represents the total number of pictures Mr. Ricardo will collect. $\newline$ The function will be the number of pictures remaining per camera multiplied by the number of cameras $c$ . $\newline$ $p = 240 \times c$ .