anonymous
  • anonymous
WILL FAN AND MEDAL : Company A charges $50 dollars per day. Company B charges only $18 dollars per day and $0.10 per mile driven. In one day, how many miles would a renter have to drive for he car from Car A be better from Car B? Express answer as a whole number.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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FortyTheRapper
  • FortyTheRapper
So, we have that A = $50 no matter what B starts at $18, but .10 for each mile What would we do to find out how much, let's say... 10 miles for example cost?
anonymous
  • anonymous
Sorry i messed up its actually 38 dollars for car b. An .01*10=1
FortyTheRapper
  • FortyTheRapper
Alright, no problem.. and not exactly. The .01 stands for one cent, not one dime

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anonymous
  • anonymous
but it says 10 cents per mile?
FortyTheRapper
  • FortyTheRapper
Whoa, did it glitch?
FortyTheRapper
  • FortyTheRapper
But the equation you have is basically saying 10 pennies = 1 dollar
FortyTheRapper
  • FortyTheRapper
Where you want it to say 10 dimes = 1 dollar because it's a dime for each mile and we needed 10 miles in our example
anonymous
  • anonymous
ok
FortyTheRapper
  • FortyTheRapper
Because of that we would get .10*10 Now, the 10 miles was an example, but we are trying to find the number of miles to equal $50.10, right? Since that would be the point where Car A would be the better choice, so the 10 would be an X, making it .10(x)
FortyTheRapper
  • FortyTheRapper
That would be part of an equation we need. If I told you that Car A = Initial price of Car B + .10(x), could you fill in the numbers?
anonymous
  • anonymous
50=38+.10(x) what would x equal? i say about 200
FortyTheRapper
  • FortyTheRapper
Correct equation! The answer is alittle less though To find it, we have to get the 38 on the other side first
anonymous
  • anonymous
subtract 38 from 50 =12?
FortyTheRapper
  • FortyTheRapper
Correct! So we have 12=.10x Two more steps: 1.) How would you get the .10 away from the x?
anonymous
  • anonymous
12/.1 = x
FortyTheRapper
  • FortyTheRapper
Exactly! That will get you an x value But remember, we made the equation equal, so after finding x, you simply add a mile to get your answer
anonymous
  • anonymous
can you walk me through the rest?
FortyTheRapper
  • FortyTheRapper
Sure Can you divide 12/.1?
anonymous
  • anonymous
yes it gives you 120
FortyTheRapper
  • FortyTheRapper
Correct, so now we have Car A = Car B But we wanted Car B to be greater than Car A, so we add one mile simply to get..?
anonymous
  • anonymous
you lost me >.< sorry
FortyTheRapper
  • FortyTheRapper
So we had that Car A = $50 right and Car B = $38 + .10 for each mile We wanted Car A to equal Car B We found out through formulas that in order to get Car A as much as Car B ($50), we would need to drive 120 miles So we have that Car A = Car B, or $50 = $50 But the question wanted to know when Car A would be better than Car B, which means when would it be cheaper, since cheaper is better So in order to get Car A better, we would need to add another 10 cents, to make Car A = $50 and Car B = $50.10 ^ Better ^ Worse In order to get that extra 10 cents, how many extra miles would we need to add?
FortyTheRapper
  • FortyTheRapper
Ah, no need for saying sorry. I'm here to help =]
anonymous
  • anonymous
1?
FortyTheRapper
  • FortyTheRapper
Right So we would get the answer we got, 120, and add one to it to get our final answer
anonymous
  • anonymous
121?
FortyTheRapper
  • FortyTheRapper
Exactly, thats the answer!
anonymous
  • anonymous
thank you!!!!!!!!!
FortyTheRapper
  • FortyTheRapper
Anytime!

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