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Check it out!. 1.4.1: Representing Constraints. Read the scenario and answer the questions that follow. Roshanda pays $5 in tolls and uses 3 gallons of gasoline each day she drives to work. In one day, Roshanda spent a total of $15.23 on tolls and gasoline.
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Check it out! 1.4.1: Representing Constraints
Read the scenario and answer the questions that follow. • Roshanda pays $5 in tolls and uses 3 gallons of gasoline each day she drives to work. In one day, Roshanda spent a total of $15.23 on tolls and gasoline. How much did each gallon of gas cost? Explain how you found your answer. Roshanda needs to work 5 days next week and has set aside $75 for tolls and gas. Will Roshanda have enough money for her workweek? Explain how you found your answer. 1.4.1: Representing Constraints
How much did each gallon of gas cost? Explain how you found your answer. Write an equation to represent this situation. Let x represent the cost of a gallon of gas. 5 + 3x = 15.23 Solve for x. 5 + 3x = 15.23 Subtract 5 from both sides. 3x = 10.23 Divide both sides by 3. x = 3.41 Interpret the solution. The cost of 1 gallon of gas is $3.41. 1.4.1: Representing Constraints
Roshanda needs to work 5 days next week and has set aside $75 for tolls and gas. Will Roshanda have enough money for her workweek? Explain how you found your answer. Multiply the amount of money Roshanda spends on her travels for 1 day of work by the number of days she will be working. 15.23(5) = 76.15 Compare this amount to the amount that Roshanda has saved. Roshanda has saved $75 and will need $76.15. She will not have enough money. 1.4.1: Representing Constraints