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If (R(t)=b-11t) and (R(4)=76), what is (b)?

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Answer and explanation

Correct answer: 120

Given R(t)=b-11t and R(4)=76. Substituting t=4 gives b-11(4)=76, so b-44=76. Adding 44 to both sides gives b=120. Hence, 120 is the correct option. If b were 110, then R(4)=110-44=66, not 76. Exam tip: In a linear expression, first substitute the given value of the variable and then isolate the unknown term.

Related tags

Linear EquationsPolynomialsSubstitutionInitial ValueLinear Decay

Frequently asked questions

What is the correct answer to this question?

120

Why is this the correct answer?

Given R(t)=b-11t and R(4)=76. Substituting t=4 gives b-11(4)=76, so b-44=76. Adding 44 to both sides gives b=120. Hence, 120 is the correct option. If b were 110, then R(4)=110-44=66, not 76. Exam tip: In a linear expression, first substitute the given value of the variable and then isolate the unknown term.

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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