B3. Miško went on a trip. After a strenuous hike, he wants to take a taxi. Taxi Mini charges 400 tolars for the start of the ride and 150 tolars for each kilometer traveled, while Taxi Maksi charges 300 tolars for the start of the ride and 160 tolars for each kilometer traveled.

A Which taxi is cheaper if Miško wants to travel from the bus station to a city 5 kilometers away?

B Which taxi is cheaper if Miško wants to travel from the bus station to an animal park 15 kilometers away?

C How many kilometers should Miško travel so that the cost is the same for both taxis?

D When is it more cost-effective for Miško to take Taxi Maksi and when is it more cost-effective to take Taxi Mini?
B3. For a ride from the bus station to a town 5 km away, with taxi Mini we pay $400+5 \cdot 150=1150$ SIT, with taxi Maksi we pay $300+5 \cdot 160=1100$ SIT. Cheaper is taxi Maksi.

B For a ride from the bus station to a zoo 15 km away, with taxi Mini we pay $400+15 \cdot 150=2650$ SIT, with taxi Maksi we pay $300+15 \cdot 160=2700$ SIT. Cheaper is taxi Mini.

C Let the unknown distance be denoted by $x$. We write the equation $400+x \cdot 150=$ $300+x \cdot 160$. For the cost to be the same with both taxis, $x=10 \mathrm{~km}$.

D It is more cost-effective for Miško to hire taxi Maksi for a ride up to $10 \mathrm{~km}$, and taxi Mini for a ride over $10 \mathrm{~km}$.

Scoring:

Total: 7 points

A Calculation and answer, e.g., Cheaper is taxi Maksi. ................................... 2 p

B Calculation and answer, e.g., Cheaper is taxi Mini. ...................................... 2 p

C Calculation and answer, e.g., For the cost to be the same with both taxis, $10 \mathrm{~km}$. 2 p

D Answer, e.g., It is more cost-effective for Miško to hire taxi Maksi for a ride up to $10 \mathrm{~km}$, and taxi Mini for a ride over $10 \mathrm{~km}$.