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erastova [34]
2 years ago
12

The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additiona

l 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? (An explanation would be helpful!)
Mathematics
2 answers:
Troyanec [42]2 years ago
6 0
3.3 miles should be the answer
10 = 2.40 + .2x    - take 2.4 from both sides
7.6 = .2x              - take 2 from 7.6 for the tip
5.6 = .2x              - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over       
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles 
marysya [2.9K]2 years ago
5 0

Answer:

I can ride 3.3 miles in $10.

Step-by-step explanation:

Let i can ride x miles in $10.

So for first 0.5 miles I have paid = $2.4

The for remaining ride of (x - 0.5) payment done = $\frac{0.20}{0.1}\times (x-0.5)=2(x - 0.5)

I gave the tip = $2

Total payment I have done for the ride = $10

So equation will be

2.4 + 2(x - 0.5) + 2 = 10

4.4 + 2x - 1 = 10

3.4 + 2x = 10

2x = 10 - 3.4

2x = 6.6

x = \frac{6.6}{2}=3.3

Therefore, i can ride 3.3 miles in $10.

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