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David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3,390. Part A: Create an equation that will determine the number of days x on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did David spend on this trip? (1 point)

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David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3,390.



Part A: Create an equation that will determine the number of days x on the trip (3 points)


Each day for x days $60 is spent on food and lodgings, that is a total of 60x dollars


The company pays 65c for each of 600miles  that is \(65*600=$390\)


= \(390+60x = 3390\) 


\(0.65*600=$390+X\)


\(3000/60=50days\) 


\(= 50 days\)


Part B: Solve this equation justifying each step with an algebraic property of equality


\(390+60x = 3390\) 


Subtract 390 from both sides


\(60x=3390-390\)


\(60x = 3000\) 


\(60x=3000/60\) 


\(x=50\) 


Part C = 50 days