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If (F(t)=18+rt) and (F(2)=30), what is (F(5))?

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Answer and explanation

Correct answer: 48

Given F(t)=18+rt and F(2)=30, we get 18+2r=30. Thus, 2r=12 and r=6. Now, F(5)=18+6×5=48. Therefore, 48 is the correct answer. The value 42 would result from using t=4, so it is not correct here. Exam tip: first find r from the given function value, then substitute the required value of t.

Related tags

Linear FunctionLinear GrowthFind RateFunction EvaluationAlgebra

Frequently asked questions

What is the correct answer to this question?

48

Why is this the correct answer?

Given F(t)=18+rt and F(2)=30, we get 18+2r=30. Thus, 2r=12 and r=6. Now, F(5)=18+6×5=48. Therefore, 48 is the correct answer. The value 42 would result from using t=4, so it is not correct here. Exam tip: first find r from the given function value, then substitute the required value of t.

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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