A telecom company charges ₹600 for a certain recharge scheme. This prepaid balance is reduced by ₹15 each day after the recharge.
Write an equation that models the remaining balance after using the scheme for days. Explain why it represents linear decay.
It represents linear decay because the balance decreases by a constant amount (₹15) each day, fitting the linear form with a negative slope.
After how many days will the balance run out?
40 days
Make a table of values for varying from 1 to 10 days and show how the balance reduces with time.
A table showing from 1 to 10 with corresponding balances 585, 570, 555, 540, 525, 510, 495, 480, 465, 450.
Explanation
The question applies the concept of linear relationships () to a real-world scenario of linear decay. Using the provided context, specifically the pattern from Example 7 where the remaining amount is the initial amount minus the daily reduction times the number of days, we formulate the equation.
The balance runs out when , which requires solving a simple linear equation. The table is constructed by substituting values of from 1 to 10 into the derived equation, demonstrating the constant rate of decay.