Question

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 $3390. 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?

Answer 1

We are given the data that David has been reimbursed with $3390 driving 600 miles and his expenses are $60 a day for food and lodging and $0.65 per mile. The equation is 3390 = 60 x + 0.65 * 600 = 60 x +390 where x is the number of days. To determine x, we transpose 390 to the other side and divide the equation by 60. x is equal to 50 days.