System of inequalities:
Graph is shown below.
<h2>Explanation:</h2>Let:
x: Number of hour Charlene makes babysitting
y: number of hour Charlene makes gardening
We can represents each statement using inequalities as follows:
<h3>First statement:</h3><em>Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week,</em>
- The amount of money she makes babysitting is:
- The amount of money she makes gardening is:
- She wants to make at least $80 a week
<em>At least </em>in this context means that the minimum amount of money she can makes is $80. In other words, if a is at least b we write:
Then, in this context:
<em>She can work no more than 12 hours a week. </em>
<em>No more </em>in this context means that the maximum numbers of hours she can work in a week is 12. In other words, if a no more than b we write:
So:
So, our system of inequalities would be:
By using graphing tool, we get the graph below. The solution is that where both the region of the first and second inequality overlap. Keep in mind that the symbols ≥ ≤ tells us that $80 and 12 hours respectively are included in our solution..
<h2>Learn more:</h2>Inequalities: brainly.com/question/12890742
#LearnWithBrainly
