The taxi fare for the first two miles is $5 and for each additional mile the fare increases by $ 2. What is the taxi fare for a

Question

2 years ago

7

journey of n miles in dollars?

1 answer:

malfutka [58] · Answer 1 · 2023-05-12T23:48:14+03:00

The taxi fare for a journey of n miles in dollars is 1 + 2n

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the equation of the system?</h3>

The given parameters about the taxi fares are given as

First two miles = $5

Additional mile = Increment of $2

Let the number of miles be n

So, we have:

2 miles = $5

Additional miles = (n - 2) * 2

Add the above expressions

5 + (n - 2)* 2

Represent the value with f(n)

So, we have:

f(n) = 5 + (n - 2)* 2

Expand the bracket

f(n) = 5 + 2n - 4

Collect the like terms

f(n) = 5 - 4+ 2n

Evaluate the like terns

f(n) = 1 + 2n

Hence, the taxi fare for a journey of n miles in dollars is 1 + 2n

So, the complete parameters are:

First two miles = $5

Additional mile = Increment of $2

n miles 1 + 2n

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