An auto rickshaw charges Rs. 25 for first two kilometers and there after Rs. 8 per kilometer. (a) Write an algebraic equation for the fare of x km Journey (x is greater than z) (b) Find the fare for 6 km using the equation obtained in (a) above.
step by step explanation please
Answers
Answer:
a) 25 + 8(x - 2)
b) Rs.57
Step-by-step explanation:
a) Algebraic equation for fare
Charges for first 2 km = Rs.25
Charges per km thereafter = Rs.8
Let "x" be the total distance travelled in km
The first 2 km will be charged at Rs.25. This is the fixed charge.
Fixed charge = 25
The remaining distance = (x - 2)
This will be charged at the rate of Rs.8 per km. This is the variable charge.
Variable charge = Distance travelled * Rate
= (x - 2)*8
Variable charge = 8(x - 2)
The total charge = Fixed Charge + Variable Charge
= 25 + 8(x - 2)
Thus, the equation that you can use to calculate total charge in Rs. is:
25 + 8(x - 2) where x: distance travelled in km
b) To find fare for 6 km
The formula derived is:
25 + 8(x - 2) where x is the distance travelled in km.
Given, x = 6
Fare = 25 + 8*(6 - 2)
= 25 + 8*(4)
= 25 + 32
= 57
The total fare for 6 km is Rs.57
Step-by-step explanation:
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