Question

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

Answer 1

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 2

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.