Which inequality models this problem? The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width?
My choice is D 2w + 2 • (3w) ≥112 2w + 2 • (3w) < 112 2w + 2 • (3w) > 112 2w + 2 • (3w) ≤112
what is a formula for the perimeter of a rectangle ? ( in term of length l, and width w)
No we dont have to solve it
We need to make/find the inequality
The perimeter is \[P = \ell+w+\ell+w = 2\ell + 2w\]
Am I right???? I think its D because at most is < with _ under it
hmm, that is a short cut yes
Well ueah but I have done the problem and I got D! Also like i said....... The at most sign is < with _ under it
Ok so am I right?
yes, yeah, maybe. YES
Really dude come on!
Yes or No!
As you say, the only difference between the options is the inequality sign, and ` ≤ ` is the same as ` at most `
Which inequality models this problem? Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?
is this another multiple-choice, where the options are the same up unto the inequality sign?
Yes / No / Maybe ?
300w > 7500 + 850w 850w > 7500 + 300w 850w < 7500 + 300w 850w ≥ 7500 + 300w
consider the weekly profit : sales - expenses how many week do you need to for the profit weekly profit * weeks to be greater than the cost of the merchandise
My choice is A
Consider, if A were true, would Eduardo ever turn a profit on the business?
how many weeks (w), do you think?
let's check A: 300w > 7500 + 850w ? 300(15) > 7500 + 850(15) ? 4500 > 7500 + 12750 ? 4500 > 20250 ?
Well how would we get the inequality
consider the weekly profit : sales - expenses how many week do you need for the profit: weekly profit * weeks to be greater than the cost of the merchandise (sales - expenses)weeks > merchandise
(sales - expenses)weeks > merchandise (sales)weeks - (expenses)weeks > merchandise (sales)w - (expenses)w > merchandise
B????? Dude, the 300 is at the end
how did they get get the + 300w as the last term on most of the options
ok I really dont understand
(sales)w - (expenses)w > merchandise (sales)w > merchandise + (expenses)w
So it is B
Well am i right?
how many weeks does that correspond to?
What do we have to do to solve it?
let's check B: 850w > 7500 + 300w 850(8) > 7500 + 300(8) ? 6800 > 7500 + 2400 ?
So its B??
Dude you litterally going around everything....
is 6800 > 7500 + 2400 ? is 6800 > 9900 ?
Where did you get the figure of 8 weeks from ?
Ok dude is it B or not!