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## Comment on

Taxi Ride## Sir can you explain why did

Cost = x + y(t-2)

what i didn't understood is (t-2) term,

can you explain this please?

## Let's look at some examples,

Let's look at some examples, and try to identify a pattern.

If the TOTAL trip is 5 miles, then t = 5.

Here, the fare is x dollars for the first 2 miles, and y dollars per mile for the 3 remaining miles.

Where did we get 3 from?

We got the 3 by taking the total trip (t = 5 miles) and SUBTRACTING the first 2 miles.

In other words, t - 2

If the TOTAL trip is 6 miles, then t = 6.

Here, the fare is x dollars for the first 2 miles, and y dollars per mile for the 4 remaining miles.

Where did we get 4 from?

We got the 4 by taking the total trip (t = 6 miles) and SUBTRACTING the first 2 miles.

In other words, t - 2

If the TOTAL trip is 12 miles, then t = 12.

Here, the fare is x dollars for the first 2 miles, and y dollars per mile for the 10 remaining miles.

Where did we get 10 from?

We got the 10 by taking the total trip (t = 12 miles) and SUBTRACTING the first 2 miles.

In other words, t - 2

And so on.

## I plugged in the values x=10

## If x = 10, y = 5, and t = 20,

If x = 10, y = 5, and t = 20, then the output is, indeed, $100

Plug those values into answer choice E to get:

E) x + y(t - 2) = 10 + 5(20 - 2)

= 10 + 5(18)

= 10 + 90

= 100

Answer: E

Cheers,

Brent

## How do you go about choosing

## Those numbers will also work.

Those numbers will also work. You'll just get a different output.

For more information on choosing "nice" numbers, watch https://www.greenlighttestprep.com/module/gre-word-problems/video/938

Cheers,

Brent

## I find algebraic methods

First two miles cost is x.

Remaining distance is : t-x

cost of remaining distance = remaining distance*cost/mile = (t-x)*y

so, total distance = x+(t-2)*y

## I agree; in most cases, an

I agree; in most cases, an algebraic approach is usually faster.