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

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

Part C: How many days did David spend on this trip?

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 

Part B: Solve this equation justifying each step with an algebraic property of equality. 

Part C: How many days did David spend on this trip?

anonymous · Answer

Ok so let x=days on the trip 
Let y=miles traveled =600
So we set up the equation with respect to the amount of money received in total for the reimbursement of the trip
So in total David received $3390 
In specific he received $60 per day and .65 per mile traveled
$$3390=60x+.65y$$
We know that the amount of miles traveled y=600
$$3390=60x+.65(600)$$
$$3390=60x+390$$
Now solve for x to determine how many days David has traveled for

anonymous · Answer

ok thank you