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Your club is baking strawberry and apple pies for a bake sale. They need at most 18 pies and cannot have more then 12 apple pies. Write and graph a system of inequalities to model this system



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danielmaduroh
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) [tex]x+y \leq 18[/tex]

Second statement. They cannot have more than 12 apple pies:

(2) [tex] y \leq 12[/tex]

So the system of inequalities is given by:

[tex]\left \{ {{x+y \leq 18} \atop {y \leq 12}} \right.[/tex]

Q2. Graph.

The graph of these inequalities is shown in the figure below. As you can see the solution is the shape in gray.
View image danielmaduroh
calculista

Let

x--------> the number of strawberry pies

y--------> the number of apple pies

we know that

[tex] x+y \leq 18 [/tex]

equation [tex] 1 [/tex]

[tex] y \leq 12 [/tex]

equation [tex] 2 [/tex]

Part a) Write a system of inequalities to model this system

the answer part a) is

[tex] x+y \leq 18 [/tex]

[tex] y \leq 12 [/tex]

Part b) Graph a system of inequalities to model this system

Using a graph tool

see the attached figure

View image calculista

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