If (G(t)=q-7t) and (G(3)=99), what is (G(10))?
Answer and explanation
Correct answer: 50
Given \(G(3)=99\), we get \(q-7(3)=99\), so \(q-21=99\) and hence \(q=120\). Now, \(G(10)=120-7(10)=120-70=50\). Therefore, 50 is correct. The value 57 can result from using an incorrect decrease instead of accounting for the full change from \(t=3\) to \(t=10\). Exam tip: first find the unknown constant from the given function value, then substitute the required input.
Frequently asked questions
What is the correct answer to this question?
50
Why is this the correct answer?
Given \(G(3)=99\), we get \(q-7(3)=99\), so \(q-21=99\) and hence \(q=120\). Now, \(G(10)=120-7(10)=120-70=50\). Therefore, 50 is correct. The value 57 can result from using an incorrect decrease instead of accounting for the full change from \(t=3\) to \(t=10\). Exam tip: first find the unknown constant from the given function value, then substitute the required input.
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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