Mathematics
A student has ₹500 in her savings bank account. She gets ₹150 every month as pocket money. How much money will she have at the end of every month from the second month onwards? Find a linear expression to represent the amount she will have in the nth month.
Answer
Initial amount in the savings bank account = ₹500
Pocket money received every month = ₹150
Amount at the end of each month:
After 1st month = 500 + 150 × 1 = ₹650
After 2nd month = 500 + 150 × 2 = ₹800
After 3rd month = 500 + 150 × 3 = ₹950
After 4th month = 500 + 150 × 4 = ₹1100
In general, after n months, the amount will be:
Amount after n months = ₹(500 + 150n)
Hence, the linear expression representing the amount in the nth month is ₹(500 + 150n).
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