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If (P(t)=a+3t) and (P(0)=12), what is (a)?
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Answer and explanation
Correct answer: 12
Substituting (t=0) gives (P(0)=a+3(0)=a). Since (P(0)=12) is given, (a=12). The number 3 is the rate of increase, not the initial value. Exam tip: In a linear expression (a+bt), putting (t=0) directly gives the initial value (a).
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
Substituting (t=0) gives (P(0)=a+3(0)=a). Since (P(0)=12) is given, (a=12). The number 3 is the rate of increase, not the initial value. Exam tip: In a linear expression (a+bt), putting (t=0) directly gives the initial value (a).
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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