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Subjects
Class 9MathematicsIntroduction to PolynomialsLinear growth and decayMediumLevel 37
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If (T(t)=54+6t), when will (T(t)=102)?

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Answer and explanation

Correct answer: \(t=8\)

Putting \(T(t)=102\) gives \(54+6t=102\). Hence, \(6t=48\), so \(t=8\). Therefore, option C is correct. For example, at \(t=7\), \(T(t)=54+42=96\), not 102. Exam tip: equate the function to the target value first, then isolate and solve for the variable.

Related tags

Linear EquationsLinear GrowthPolynomialsSubstitutionSolving For T

Frequently asked questions

What is the correct answer to this question?

\(t=8\)

Why is this the correct answer?

Putting \(T(t)=102\) gives \(54+6t=102\). Hence, \(6t=48\), so \(t=8\). Therefore, option C is correct. For example, at \(t=7\), \(T(t)=54+42=96\), not 102. Exam tip: equate the function to the target value first, then isolate and solve for the variable.

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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  1. 1If the height of a plant is (h(t)=20+3t) cm, what type of change does it show?
  2. 2If the amount of water is (W(t)=50-4t) litres, what type of change is it?
  3. 3In the linear rule (C(d)=15+2d), what is the initial value?
  4. 4In the linear rule (P(t)=80-5t), what is the rate of change per unit?
  5. 5If (S(t)=10+6t), what will be the value of (S(t)) at (t=4)?
  6. 6If (M(t)=90-7t), what is the value of (M(t)) at (t=5)?
  7. 7Books in a library increase according to (B(n)=100+8n). What does the coefficient of (n) show?
  8. 8If water left in a tank is (L(t)=60-3t) litres, how much water was there at (t=0)?
  9. 9Which rule represents linear growth?
  10. 10Which rule represents linear decay?
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