The saving amount is (S(m)=400+60m) rupees. After how many months will the amount be (760) rupees?
Answer and explanation
Correct answer: 6
The savings model is \(S(m)=400+60m\). Put \(S(m)=760\): \(400+60m=760\). Thus, \(60m=360\), so \(m=6\). Therefore, the amount will be ₹760 after 6 months. After 5 months, the amount would be ₹700, so that option is incorrect. Exam tip: To find the time for a given value in a linear model, equate the model to the target value first.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The savings model is \(S(m)=400+60m\). Put \(S(m)=760\): \(400+60m=760\). Thus, \(60m=360\), so \(m=6\). Therefore, the amount will be ₹760 after 6 months. After 5 months, the amount would be ₹700, so that option is incorrect. Exam tip: To find the time for a given value in a linear model, equate the model to the target value first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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