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 (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many days did David spend on this trip? (1 points)

Answer 1

Let x be the number of days on the trip.
The company pays $60 a day for food and lodging. Therefore for x days the company would pay: 60 * x

The company pays $0.65 for each mile traveled. For traveling 600 miles the company would have paid: 600 * 0.65 = $390

Total expenses = 60x + 390 = 3390 is your equation.

Answer 2

Ok i know how to solve but what is the property of equality

Answer 3

@ranga

Answer 4

I think property of equality refers to adding or subtracting same things to both sides of the equality keeps the equation in tact. Same with multiplication and division.

Answer 5

Oh ok ik how to do that

Answer 6

Property of equality:

1. Addition: If a = b then a + c = b + c.
2. Subtraction: If a = b then a – c = b– c.
3. Multiplication: If a = b then ac = bc.
4. Division: If a = b and c ≠ 0 then a/c = b/c.

Answer 7

alright.

Answer 8

60x+390=3390
60x+390-390=3390-390
60x=3000
60x/60=3000/60
x=50

Answer 9

Is that right?

Answer 10

@ranga

Answer 11

Yes.

Answer 12

do i have to put the name of each quality as i go?

Answer 13

Looks like they are asking for justification in each step.

Answer 14

How do I justify it?

Answer 15

Look in your text/notes how they do it and follow the same procedure to get full credit.

It may be something like:
60x+390-390=3390-390 by subtraction property of equality

Answer 16

Thank you!

Answer 17

So David spent 50 days on the trip?

Answer 18

Yes. 50 days.

Answer 19

are you doing flvs? @Lenna772

Answer 20

yup

Answer 21

what lesson thingy are you on