OpenStudy (anonymous):

I really need help on this i dont know what to do. 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 $2335. 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? 5 years ago OpenStudy (anonymous): 55x+0.45m=reimbursement where x=days m=miles 5 years ago OpenStudy (anonymous): Is that the equation i need to solve? 5 years ago OpenStudy (anonymous): That is your equation for part A.$55*# of days 0.45c*# of miles added together gives you her payment.

5 years ago
OpenStudy (anonymous):

$55.45? 5 years ago OpenStudy (anonymous): No, thats just how you get the equation in part A. 5 years ago OpenStudy (anonymous): Then how do you solve that? 5 years ago OpenStudy (anonymous): 55*days+0.45*300miles=2335 #days=(2335-0.45*300)/55 5 years ago OpenStudy (anonymous): i got 12733. 5 years ago OpenStudy (anonymous): im seriously no good at math im so sorry 5 years ago OpenStudy (anonymous): #days=2200/55 #days=40 5 years ago OpenStudy (anonymous): So you take$55*# of days 0.45c*# of miles as your equation then solve it and you end up getting 40 days correct?

5 years ago
OpenStudy (anonymous):

Yes, just substitute the values your given. Just think about it, $55 per day, so in 2 days she gets 2*55, etc. We are given the number of miles, and she gets paid$0.45 per mile, so 300*$0.45 We know she was paid$2335 total. We don't know how many days she worked for, so we get \$55*days+0.45*300=2335

5 years ago