Math, asked by m4ster, 1 month ago

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

Answered by XXItzmoongirlXX
3

Answer:

f(x) =

{50.00 for 0 ≤x≤600

{50.00 + 0.50⌈x-600⌉ for x > 600

Answered by amitnrw
5

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 :

\begin{cases}50, \quad  0&lt;d\leq600\\50 + \dfrac{d-600}{2m} ,  \quad d &gt; 600\end{cases}

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