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Check it out!. 2.2.2: Solving Systems of Linear Equations. Benito is a waiter. He earns a base salary of $1,500 a month, plus 20% of the price of the meals he serves. Write an equation to predict the amount of money Benito will earn if he serves $350 in meals. - PowerPoint PPT PresentationTRANSCRIPT
2.2.2: Solving Systems of Linear Equations
Benito is a waiter. He earns a base salary of $1,500 a month, plus 20% of the price of the meals he serves.
1. Write an equation to predict the amount of money Benito will earn if he serves $350 in meals.
2. Benito earned $1,650 in one month. What was the total price of the meals that Benito served?
3. Create a graph to show the possible amount of money Benito could earn each month.
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1. Write an equation to predict the amount of money Benito will earn if he serves $350 in meals.• Translate the verbal description of Benito’s pay
into an algebraic equation.• Let x represent the total cost of the meals Benito
serves.• Let y represent the amount of money Benito
earns.• Benito earns a base salary of $1,500, plus 20% of
the price of the meals.• 20% of the price of the meals is 0.20x.
y = 1500 + 0.20x
2.2.2: Solving Systems of Linear Equations
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• Benito served $350 in food.• Substitute $350 for x and solve the equation for y,
the amount of money Benito will earn.
y = 1500 + 0.20x Original equation
y = 1500 + 0.20(350) Substitute 350 for x.
y = 1500 + 70 Simplify.
y = 1570• Benito will earn $1,570 if he serves $350 worth of
food.
2.2.2: Solving Systems of Linear Equations
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2. Benito earned $1,650 in one month. What was the total price of the meals that Benito served?• Use your equation from part 1 to find the price of
the meals Benito served.• Substitute $1,650 for y, the total amount of money
Benito earned.
1650 = 1500 + 0.20x
2.2.2: Solving Systems of Linear Equations
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• Solve for x.
• Benito served $750 worth of meals.
2.2.2: Solving Systems of Linear Equations
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1650 = 1500 + 0.20x Original equation
150 = 0.20x Subtract 1,500 from both sides.
750 = x Divide both sides by 0.20.
3. Create a graph to show the possible amount of money Benito could earn each month.• The equation y = 1500 + 0.20x can be graphed
using slope-intercept form.• The slope of the equation is 0.20.• The y-intercept is 1,500.
2.2.2: Solving Systems of Linear Equations
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2.2.2: Solving Systems of Linear Equations
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