Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she
can work at most 17 total hours and must earn no less than $160. If x represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
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Answer:
Yes.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
- Systems of Equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x + 3y = 20
x + 4y = 17
(1, 4)
<u>Step 2: Check</u>
<em>Plug and verify the coordinates is a solution.</em>
- Substitute in point [1st Equation]: 8(1) + 3(4) = 20
- Multiply: 8 + 12 = 20
- Add: 20 = 20
- Substitute in point [2nd Equation]: 1 + 4(4) = 17
- Multiply: 1 + 16 = 17
- Add: 17 = 17
∴ Since both equations work out, (1, 4) is a solution to the systems of equations.