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Auto fare in Bombay is $₹\:2.40$ for the first $1\:\text{km}$,$₹\:2.00$ per km for the next $4\:\text{km}$ and $1.20$ for each additional km thereafter. Find the fare in rupees for $k\:\text{km}(k\geq5)$.

1. $2.4k+1.2(2k-3)$
2. $10.4+1.2(k-5)$
3. $2.4+2(k-3)+1.2(k-5)$
4. $10.4+1.2(k-4)$

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