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yogurt sundae represented by x and costs $4
yogurt cone represented by y and costs $3
we got a $50 card
it's like the equation is 4x+3y=50
so that could be
4x+3y < 50
4x+3y > 50
\[4x+3y \leq 50\]
\[4x+3y \geq 50 \]
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do you know which one of the graphs it would be? @UsukiDoll I'm stuck between A and C
I haven't done this in years, so I'm thinking xD
@UsukiDoll lol thanks for trying
you have to graph the line of 4x+3y = 50 first
change it to the y =mx+b form
Let T be the total cost of buying x sundaes and y cones
Since you only have $50, this means that is the most you can spend. It is the ceiling. So that's why \[\Large T \le 50\] T could be less than 50 or it could be equal to 50.
1 sundae costs $4, so x of them cost 4x dollars
1 cone costs $3, so y of them cost 3y dollars
buying x sundaes and y cones gives a total of 4x+3y dollars, so T = 4x+3y
Plug that into the inequality
\[\Large T \le 50\]
\[\Large 4x+3y \le 50\]
ah .. I might have overlooked that $50 limit... so we have to be less than $50 or equal to $50 for this... And since we have \[\LARGE \leq \], it's a solid line
so the dash choices are out.
now let's pick a test point like the origin (0,0) also known as x = 0 and y =0 and plug it into the equation to see if the inequality is true or false
\[\Large 4x+3y \le 50 \]
letting x = 0 and y = 0
\[\Large 4(0)+3(0) \le 50 \]
\[\Large 0+0 \le 50 \]
\[\Large 0 \le 50 \]
since 0 is less than or equal to 50. we have to shade the line that includes (0,0)