Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence along the remaining three sides of the pen. She represents this situation with the inequality w+2ℓ≤125.

Which explanation correctly interprets this inequality?

Daisy has one side of the rectangular pen along the wall, so she needs two widths, w, and one length, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen.

Daisy has one side of the rectangular pen along the wall, so she needs two widths, w, and one length, 2ℓ. She has at least 125 feet of fencing materials to build the fence for her pen.

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen***.

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at least 125 feet of fencing materials to build the fence for her pen.

Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack of small canvases for $4.00 and paints for $6.25,

including tax.

Which inequality represents this situation where c
is the number of four-packs of canvases and p

is the number of paints Taylor purchases?
4c+6.25p≤150**
6.25c+4p≥150
4c+6.25≥150
6.25c+4p≤150

Adam is creating an animated short film, and he needs 24 frames per second of film. He already has at least 250 frames.
Which inequality represents this situation where f is the number of frames and s is the number of seconds of film?
f≥24s+250**
s≥24f−250
s≥24f+250
f≥24s−250

2 answers

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen***.
YES
===============================================
4c+6.25p≤150**
YES
===============================================

1 second/24 frames
so if he started with 0 frames
time s = (1/24) (additional f)
but he already had at least 250 frames
so
time s = (1/24)( f-250) or maybe less time if he had more than 250
24 s </= f - 250
or
f >/= 24 s + 250 agree YES
thank you Damon.