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

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) \(x+y \leq 18\)

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

(2) \(y \leq 12\)

So the system of inequalities is given by:

\(\left \{ {{x+y \leq 18} \atop {y \leq 12}} \right.\)

Q2. Graph.

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

calculista calculista · Answer 2 · 2018-07-30T19:07:24-04:00

calculista calculista

30-07-2018

Let

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

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

we know that

\(x+y \leq 18\)

equation \(1\)

\(y \leq 12\)

equation \(2\)

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

the answer part a) is

\(x+y \leq 18\)

\(y \leq 12\)

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

Using a graph tool

see the attached figure

Answer Link