amitdgr wrote:

A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

A. 3xr/2

B. 3x/200r

C. 3r/200x

D. 3xr/200

E. xr/600

Let r=100 cents.

For 3 people, the cost per mile = 3*100 = 300 cents = 3 dollars.

Let x = 2 miles.

Regular cost for 3 people to travel 2 miles = 3*2 = 6 dollars.

With a 50% discount, the cost in dollars = 3. This is our target.

Now we plug x=2 and r=100 into the answers to see which yields our target of 3.

Only D works:

\(\frac{(3xr)}{200} = \frac{(3*2*100)}{200} = 3\)

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