A taxi ride costs P50.00 for the first 600 meters, and each additional m meter (or a fraction thereof) adds P0.50 to the fare.Use piecewise function to signify the taxi fare in terms of the distance d in meters.
Solution: 1.What is the independent variable?_____
2.What is the dependent variable?_____
3.Write the function.
F(___)={
Answers
Answer:
f(x) =
{50.00 for 0 ≤x≤600
{50.00 + 0.50⌈x-600⌉ for x > 600
Given : A taxi ride costs P50.00 for the first 600 meters, and each additional m meter (or a fraction thereof) adds P0.50 to the fare.
To Find : Use piecewise function to signify the taxi fare in terms of the distance d in meters.
1.What is the independent variable?_____
2.What is the dependent variable?_
Solution:
independent variable is distance
dependent variable is Fare
for 0 < d ≤ 600 , fare is 50
after that m meter cost = 0.50
=> 1 m cost = 0.50/p
distance = d - 600
=> d - 600 cost = (d - 600) 0.5 / p = (d - 600)/2p
Total cost = 50 + (d - 600)/2p
piece wise function F(d) is :
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