Question
c) 3
e taxi fare in a city is as follows: For the first kilometer, the fare is
and for the subsequent distance it is ?
kilometer. Taking the distance covered as
and total fare as
, write a linear equation for this
ormation.
e taxi fare in a city is as follows: For the first kilometer, the fare is
kilometer. Taking the distance covered as
ormation.
Ask by Greene Stephens. in India
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The linear equation for the taxi fare is:
where:
-
= total fare in ₹ -
= total distance covered in kilometers -
= fare per kilometer for each kilometer beyond the first
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Extra Insights
To create a linear equation for the taxi fare, you start with the initial charge of ₹ 8 for the first kilometer. For every kilometer thereafter, let’s say the fare is ₹ x (this is the unknown variable for subsequent distance fare). Therefore, the total fare
can be expressed as:
where
is the total distance in kilometers, and
accounts for the distance beyond the first kilometer.
Now, if the fare for subsequent distance is set, you can specifically plug that value into the equation to calculate the total fare based on distance traveled.
When dealing with taxi fares, it’s key to consider common pitfalls that may arise! Many individuals forget to count the initial kilometer in their calculations. Make sure to always start your distance count from the second kilometer when applying additional rates! Also, take into account any potential surcharges during nighttime or holidays, as this could impact your total fare. Happy riding!