Question

The fare for taxi journeys in a certain town is $2.00 plus $1.00 for each kilometre. Using this information, estimate: (i) The fare for a journey of 3.5 km. (ii) The distance travelled if the fare was $6.00​

Answer 1

Answer:

Step-by-step explanation:

Since the journey initially costs $2 (this will be our y-intercept), and the variable (x) is $1 for every additional kilometer. This can be modelled as...

y=1x+2

(i) if we want to know the cost of what 3.5 km would cost, we simply plug it into our equation...

y=1(3.5)+2

Answer: $5.5

(ii) For this question you can set the y value equal to 6 and plug in a random number for x until you get 6 on both sides. In this case...

6=1x+2

6=1(4)+2

The distance traveled if the fare was $6 is 4km

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