Question

Brayden is working two summer jobs, making $21 per hour tutoring and making $10 per hour landscaping. In a given week, he can work a maximum of 12 total hours and must earn no less than $170. If xx represents the number of hours tutoring and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Answer:

2 hours.

Step-by-step explanation:

Money earned for 14 hours of life-guarding = 14*18 = $252.  If he worked another 5 hours  to make the maximum of 19 he would earn 252 + 5*9

= $297  but he wants to work a minimum of hours for  a minimum of 270.

Thus we have the inequality:

252 + 9x ≤ 270

9x  ≤  18

x  ≤ 2.

So the number of hours he must do clearing tables = 2.

Answer 2

Answer:

The set of two or more inequalities in one or more variables is referred to as a system of inequalities, and the further discussion can be defined as follows:

System of inequalities:

• Get y alone on one side of a linear inequality with 2 variables (x,y). Consider the equation that results when the inequality sign is changed to an equality sign.
• This equation has a line as its graph. A dashed line is drawn if the inequality is strict.

From the question, we know

$21 x+10y \geq 170$  money

$x+y \leq 12$           hours

so

Inequality $1 : y\geq - \frac{21}{10} x+17$

Inequality $2 : y\leq -x+12$

and $x=0, y= 0$

For example

$y = 2 \ \ \ x=10$

• Please find the attached file.

Find out more about the graph here:

brainly.com/question/2025686

Step-by-step explanation: