Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. the company pays $55 a day for food and lodging and $0.45 for each mile traveled. rita drove 300 miles and was reimbursed $2,335.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 rita spend on this trip?  

"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels m miles and is on a trip for x days then Rita will receive:

55x + 0.45m dollars. 

Rita drove 300 miles, means that m=300. Thus 55x + 0.45m becomes 

(dollars.)

She was reimbursed  $2,335 means that .

Part A: .

Part B: 

We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:

55x=2,335-135=2,200.

Dividing both sides by 55, we get: x=2,200/55=40.

Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.