Question

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days 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 Donna spend on this trip? (1 point)

Answer 1

See below

Explanation:

Part A

Let number of days be d, then the equation is:

• 50d + 200*0.6 = 1620

Part B

Solution of the equation

• 50d + 120 = 1620
• 50d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality
• 50d = 1500
• 50d / 50 = 1500/50 ⇒ division property of equality
• d = 30

Part C

• 30 days as above