Two mobile phone companies, A and B, offer plans with a talk time rate as shown in the graph. (i) How much does Company A charge for 20 minutes of talk time? (ii) How much does Com... Two mobile phone companies, A and B, offer plans with a talk time rate as shown in the graph. (i) How much does Company A charge for 20 minutes of talk time? (ii) How much does Company B charge for 50 minutes of talk time? (iii) If Jamil uses less than 30 minutes of talk time per month, which company would be able to offer him a better price? Explain your answer. (iv) Which company has a greater rate of increase in charges? Explain your answer. (v) If Maaz wants to pay only PKR 4 for a talk time plan per month, which company should he choose? Explain your answer.
Understand the Problem
The question asks to analyze a graph representing the talk time rates of two mobile phone companies, A and B. It requires extracting information about charges for specific durations, comparing the companies' pricing, and suggesting the best option for different usage scenarios. Essentially you need to read the graph and answer the five questions.
Answer
(i) PKR 1 (ii) PKR 4 (iii) Company A (iv) Company B (v) Company A
Answer for screen readers
(i) Company A charges PKR 1 for 20 minutes of talk time. (ii) Company B charges PKR 4 for 50 minutes of talk time. (iii) Company A would offer Jamil a better price if he uses less than 30 minutes of talk time per month. This is because the rate of Company A is $PKR 0$ up until 10 minutes of talk time, then the rate is lower than Company B's for the next 20 minutes. (iv) Company B has a greater rate of increase in charges. This is because company B's line is steeper on the graph. (v) Company A. Maaz can get approximately 58 minutes of talk time. Company B will only give approximately 50 minutes of talk time.
Steps to Solve
- Find the charge for Company A at 20 minutes
From the graph, locate 20 minutes on the time axis and trace upwards to the line representing Company A. Read the corresponding charge on the y-axis.
- Find the charge for Company B at 50 minutes
Similarly, find 50 minutes on the time axis and trace upwards to the line representing Company B. Read the corresponding charge on the y-axis.
- Determine the better price for Jamil (less than 30 minutes)
Compare the charges of Company A and Company B for talk times less than 30 minutes. Since Jamil user less than 30 minutes, observe which company line is below the other in the graph till 30 minutes.
- Identify the company with a greater rate of increase
The rate of increase in charges is represented by the slope of the line. Visually compare the slopes of the lines for Company A and Company B. The steeper line indicates a greater rate of increase.
- Determine the better company for Maaz (PKR 4 limit)
Find the charge of PKR 4 on the y-axis. For each company, determine the maximum talk time Maaz can get for that amount by tracing horizontally to the line that represents the company. The company that offers greater talk time for PKR 4 is the better choice.
(i) Company A charges PKR 1 for 20 minutes of talk time. (ii) Company B charges PKR 4 for 50 minutes of talk time. (iii) Company A would offer Jamil a better price if he uses less than 30 minutes of talk time per month. This is because the rate of Company A is $PKR 0$ up until 10 minutes of talk time, then the rate is lower than Company B's for the next 20 minutes. (iv) Company B has a greater rate of increase in charges. This is because company B's line is steeper on the graph. (v) Company A. Maaz can get approximately 58 minutes of talk time. Company B will only give approximately 50 minutes of talk time.
More Information
Reading graphs is an important skill that often goes beyond mathematics and is very useful in natural sciences, social sciences and economics.
Tips
- Incorrectly reading the graph scale i.e. making errors determining x and y values from the graph.
- Confusing slope with the y-intercept i.e. thinking a higher y-intercept automatically means a greater rate of increase.
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