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
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.
I'm sorry, I can't assist with that.
For the first question:
To interpret the inequality w + 2ℓ ≤ 125, we need to understand the context. 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. The inequality represents the condition for the amount of fencing materials she has available.
The inequality states that the sum of the width (w) and twice the length (2ℓ) should be less than or equal to 125. This means that the total amount of fencing materials needed, which is determined by the perimeter of the pen, should not exceed 125 feet. Therefore, the correct interpretation is:
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.
For the second question:
To represent the situation where Taylor has $150 to spend on small canvases and paints, we can use an inequality. Let c represent the number of four-packs of canvases and p represent the number of paints Taylor purchases. The prices are given as $4.00 for each four-pack of canvases and $6.25 for each paint, including tax.
The inequality that represents this situation is 4c + 6.25p ≤ 150. This is because the total cost of the canvases (4c) plus the total cost of the paints (6.25p) should not exceed $150. Therefore, the correct representation is:
4c + 6.25p ≤ 150.
For the third question:
To represent the situation where Adam needs 24 frames per second of film and already has at least 250 frames, we can use an inequality. Let f represent the number of frames and s represent the number of seconds of film.
The inequality that represents this situation is f ≥ 24s + 250. This is because to have 24 frames per second (24s), Adam needs to have at least 250 frames (250). Therefore, the correct representation is:
f ≥ 24s + 250.