Question

AlgebrAAAAAAA

Answer 1

@CGGURUMANJUNATH

Answer 2

Lincoln MS has $200 to spend on notebooks and tables, on x and y
"x" are $7 each
"y" are $5 each

so one can say that the amount they'll spend cannot surpass $200, is all they have for their budget
so the amount of notebooks bought, " 7x ", PLUS the amount of tablets bought, " 5y" cannot be more than $200, it can be less, or $200 but not more than that \(\bf 7x+5y\le 200\) if you solve for "y", what do you get?

Answer 3

anyhow, you'd just solve for "y" and graph the inequality -> http://www.youtube.com/watch?v=unSBFwK881s

Answer 4

Would it be top right?

Answer 5

well.. what did you get for \(\bf 7x+5y\le 200\quad ?\)

Answer 6

y<=10.2

Answer 7

10.2? whatever happened to "x"?

Answer 8

How do you solve

Answer 9

well.. how would you solve for "y" say \(\bf 7x+5y= 200\quad ?\)

Answer 10

I thought you would substitute 7 for x

Answer 11

me too @Lena772

Answer 12

hmm you're supposed to solve for "y", then you'd end up with an equation on "x" terms on the right-hand side

Answer 13

5y=200-7x

Answer 14

.... so... dividing by "5". to isolate or thus "solving" for "y"... will give you?

Answer 15

y=40-1.4x

Answer 16

\(\bf 7x+5y\le 200\implies 5y\le 200-7x\implies y\le 40-\cfrac{7x}{5}\)

so... to graph that, we would firstly graph \(\bf y= 40-\cfrac{7x}{5}\) which is just a line
so -> http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiI0MC0oN3gvNSkiLCJjb2xvciI6IiNFRDBFMEUifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItNDYuMDkzMTkxOTA5Nzg5OTkiLCI1MC43NjQzNTU4NTAyMTk2OTQiLCItMTAuMzQ0MDY2OTI1MDQ4ODEyIiwiNDkuMjYwNTc3ODUwMzQxNzc1Il19XQ--

Answer 17

Top left? because when it's less you shade under?

Answer 18

That's what I would say @cuzthisisafrica

Answer 19

when graphing inequalities, < or > means a DASHED LINE, \(\bf \le \ or \ \ge\) means a SOLID LINE, so in this case it'll be a solid line

so, what part do we shade? well let's pick a point NOT IN THE LINE, say ... ( 0, 0), is NOT IN THE LINE, so, let us plug that in our equation, see what we get \(\bf y\le 40-\cfrac{7x}{5}\qquad (0,0)\implies x=0\quad y=0\\ \quad \\

0\le 40-\cfrac{7(0)}{5}\implies 0\le 40\) so... is 0 really LESS THAN OR EQUALS TO 40? yes it's, is really LESS, thus that makes the inequality TRUE for the point (0,0) and thus that's the area we shade, the area below the solid line

Answer 20

and now you can see which of the graphs matches that