Two models are (A(t)=10+3t) and (B(t)=25+t). Which value is greater at (t=5)?
Answer and explanation
Correct answer: The value of B(t) is greater
Substituting t=5 gives A(5)=10+3(5)=25 and B(5)=25+5=30. Since 30 is greater than 25, B(t) has the greater value. The “both values are equal” option is incorrect because the values differ by 5. Exam tip: To compare linear models at a given t, substitute that value into both expressions before comparing.
Frequently asked questions
What is the correct answer to this question?
The value of B(t) is greater
Why is this the correct answer?
Substituting t=5 gives A(5)=10+3(5)=25 and B(5)=25+5=30. Since 30 is greater than 25, B(t) has the greater value. The “both values are equal” option is incorrect because the values differ by 5. Exam tip: To compare linear models at a given t, substitute that value into both expressions before comparing.
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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