Question

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?

Answer 1

55x+0.45m=reimbursement
where x=days m=miles

Answer 2

Is that the equation i need to solve?

Answer 3

That is your equation for part A.
$55*# of days
0.45c*# of miles
added together gives you her payment.

Answer 4

$55.45?

Answer 5

No, thats just how you get the equation in part A.

Answer 6

Then how do you solve that?

Answer 7

55*days+0.45*300miles=2335
#days=(2335-0.45*300)/55

Answer 8

i got 12733.

Answer 9

im seriously no good at math im so sorry

Answer 10

#days=2200/55
#days=40

Answer 11

So you take $55*# of days 0.45c*# of miles as your equation then solve it and you end up getting 40 days correct?

Answer 12

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