Let
x--------> the number of strawberry pies
y--------> the number of apple pies
we know that
x + y ≤ 18
equation 1
y ≤ 12
equation 2
Part a) Write a system of inequalities to model this system
the answer part a) is
x + y ≤ 18
y ≤ 12
Part b) Graph a system of inequalities to model this system
Using a graph tool
see the attached figure
**Q1. System of inequalities. **
There is a club that is baking strawberry and apple pies for a bake sale, the problem is to write and graph a system of inequalities, so let be:
x: The number of strawberry pies
y: The number of apple pies
Then we can write these system of inequalities as follows:
First statement. They need at most 18 pies:
(1) x + y ≤ 18
Second statement. They cannot have more than 12 apple pies:
(2) y ≤ 12
So the system of inequalities is given by:
{ y ≤ 12 x + y ≤ 18
Q2. Graph.
The graph of these inequalities is shown in the figure below. As you can see the solution is the shape in gray.
To model the scenario of baking pies, we define x as strawberry pies and y as apple pies. The inequalities representing the limits are x + y ≤ 18 and y ≤ 12 . The graphing of these inequalities will show the region where both conditions are satisfied.
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