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 $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)

Answer 1

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