Mathematics
A telecom company charges a fixed monthly fee and an additional cost per GB of the internet data used. A student observes that when she used 10 GB, her bill was ₹350. When she used 20 GB, her bill was ₹550. If the monthly bill y depends on the amount of data used, x (in GB), according to the relation y = ax + b, Can you guess what the numbers 20 and 150 in the equation y = 20x + 150 represent?
Answer
The linear relationship is given by y = 20x + 150,
where x is the number of GB of internet data used and y is the total monthly bill in rupees.
The number 20 represents the additional cost per GB of internet data used. That is, for every additional GB of data used, the bill increases by ₹20.
The number 150 represents the fixed monthly fee charged by the telecom company. This is the amount the user must pay even if no data is used (i.e., when x = 0, y = 150).
Hence, 20 represents the cost per GB of data used, and 150 represents the fixed monthly fee.
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