Which option has equal decrease of (4) per step?
Answer and explanation
Correct answer: \(y=10-4x\)
In \(y=10-4x\), the coefficient of \(x\) is \(-4\). Therefore, when \(x\) increases by 1, \(y\) decreases by 4. In \(y=4x-10\), the coefficient is \(+4\), so it represents an increase of 4, not a decrease. Exam tip: In a linear expression \(y=a+bx\), the coefficient \(b\) gives the change per step.
Frequently asked questions
What is the correct answer to this question?
\(y=10-4x\)
Why is this the correct answer?
In \(y=10-4x\), the coefficient of \(x\) is \(-4\). Therefore, when \(x\) increases by 1, \(y\) decreases by 4. In \(y=4x-10\), the coefficient is \(+4\), so it represents an increase of 4, not a decrease. Exam tip: In a linear expression \(y=a+bx\), the coefficient \(b\) gives the change per step.
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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