SOLUTION: You club is baking vanilla and chocolate cakes for a bake sale. They need at most 27 cakes. You cannot have more than 12 chocolate cakes. Write and graph a system of inequalities t

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Question 682854: You club is baking vanilla and chocolate cakes for a bake sale. They need at most 27 cakes. You cannot have more than 12 chocolate cakes. Write and graph a system of inequalities to model this system
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x is vanilla
y is chocolate
...
x%2By+%3C=+27
y+%3C=12
...
graph
y%3C=-x%2B27 and y%3C=12
...
y%3C=-x%2B27 use the intercepts to graph
y intercept is 27, plot (0, 27)
x intercept is 0 = -x+27, so x = 27, plot (27, 0)
Draw a solid line through the intercepts, solid to include the points on the line.
Shade the area under the line
...
y%3C=12 is a horizontal line at y = 12
Draw it as a solid line. Shade the area under the line.
...
Any point in the area shaded by BOTH lines is a possible solution.
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