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 $2335.

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 points)

Answer 1

I got the equation. I just don't understand B.

Answer 2

The expression will be 55+0.45x.

Answer 3

x stands for days
55x + 0.45(300) = 2335
now solve for x

Answer 4

40?

Answer 5

I don't know...let me see
55x + 135 = 2335
55x = 2335 - 135
55x = 2200
x = 2200/55
x = 40

yes....40 days

Answer 6

Oh, okay, thanks. :)
Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)
what does that mean?

Answer 7

algebra properties....like distribution property, addition property, multiplication property...etc...

Answer 8

do you need help with this part ?

Answer 9

Yes, I do. :) I don't know how to show that with the expression?

Answer 10

55x + 0.45(300) = 2335 -- distributive property of equality
55x + 135 = 2335 -- subtraction property of equality
55x + 135 - 135 = 2335 - 135 -- combine like terms
55x = 2200 -- division property of equality
55x/55 = 2200/55
x = 40

Answer 11

Oh, thanks sooo much! I get it. :)

Answer 12

thats good to hear ....glad to help :)

Answer 13

Haha...thx again!