Question

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. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Rita spend on this trip? (1 point) 

Answer 1

Alright... Big Question! So, we have to create equations for this... Part A:

m = miles traveled
x = days on trip
y = reimbursement

y = 0.45m + 55x

Part B:

2,335 = 0.45(300) + 55x
x = 40

Part C:
She spent 40, as x = days = 40.

Answer 2

Part A)

m = miles traveled

x = days on trip

y = reimbursement

55x + .45m = y

Part B)

55x + .45(300)= 2335

55x+ 135 = 2335

subtract 135 on both sides

55x= 2200

divide by 55 on both sides

x= 40

Part C) Rita Spent 40 Days on This Trip