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