A pay phone service charges Php 5 for the first three minutes and Php 1 for every minute additional or a fraction thereof. How much will a caller have to pay if his call lasts for 8 minutes?
a) Write a rule that best describes the problem;
b) Complete the table of values;
c) Draw its graph using any method.
d) What is the answer of the problem.
a) Write a rule that best describes the problem;
b) Complete the table of values;
c) Draw its graph using any method.
d) What is the answer of the problem.
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PIECEWISE FUNCTION
Problem:
A pay phone service charges Php 5 for the first three minutes and Php 1 for every minute additional or a fraction thereof. How much will a caller have to pay if his call lasts for 8 minutes?
Answer with Step-by-step explanation:
a) Write a rule that best describes the problem.
- We can make a piecewise function for this word problem.
The first line will yield the cost of service charge of the payphone for the first 3 minutes which is constant. For the second line, the cost of service charge when the time spent in using the payphone has exceeded 3 minutes where x refers to the time spent of a caller in using the payphone.
b) Complete the table of values.
If x = 1 minute, 2 minutes or 3 minutes: y = 5 pesos
If x = 4 minutes: y = 5 + (x-3) = 5 + (4-3) = 5 + 1 = 6 pesos
If x = 5 minutes: y = 5 + (5-3) = 5 + 2 = 7 pesos
Solution to the Problem:
Since we are required to solve for the service charge of an 8-minute call of the caller, then:
y = 5 + (8-3) = 5 + 5 = 10 pesos
Hence, the caller should pay 10 pesos for his/her 8-minute payphone usage.
Know more about piecewise function:
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