Question

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.

Answer 1

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?

Answer 2

Sorry i messed up its actually 38 dollars for car b. An .01*10=1

Answer 3

Alright, no problem.. and not exactly. The .01 stands for one cent, not one dime

Answer 4

but it says 10 cents per mile?

Answer 5

Whoa, did it glitch?

Answer 6

But the equation you have is basically saying 10 pennies = 1 dollar

Answer 7

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

Answer 8

ok

Answer 9

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)

Answer 10

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?

Answer 11

50=38+.10(x) what would x equal? i say about 200

Answer 12

Correct equation! The answer is alittle less though

To find it, we have to get the 38 on the other side first

Answer 13

subtract 38 from 50

=12?

Answer 14

Correct!

So we have 12=.10x

Two more steps:

1.) How would you get the .10 away from the x?

Answer 15

12/.1 = x

Answer 16

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

Answer 17

can you walk me through the rest?

Answer 18

Sure

Can you divide 12/.1?

Answer 19

yes
it gives you 120

Answer 20

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..?

Answer 21

you lost me >.< sorry

Answer 22

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?

Answer 23

Ah, no need for saying sorry. I'm here to help =]

Answer 24

1?

Answer 25

Right

So we would get the answer we got, 120, and add one to it to get our final answer

Answer 26

121?

Answer 27

Exactly, thats the answer!

Answer 28

thank you!!!!!!!!!

Answer 29

Anytime!