Which option has (y) increasing by (4) each time (x) increases and (y(0)=9)?
Answer and explanation
Correct answer: \(y=9+4x\)
In the linear form \(y=mx+c\), \(m\) gives the change in \(y\) when \(x\) increases by 1. Since \(y\) must increase by 4 each time, \(m=4\). Also, \(y(0)=9\) gives \(c=9\). Therefore, the correct equation is \(y=9+4x\). In option C, the rate is \(-4\), so \(y\) decreases instead. Exam tip: To check \(y(0)\), substitute \(x=0\) in the equation.
Frequently asked questions
What is the correct answer to this question?
\(y=9+4x\)
Why is this the correct answer?
In the linear form \(y=mx+c\), \(m\) gives the change in \(y\) when \(x\) increases by 1. Since \(y\) must increase by 4 each time, \(m=4\). Also, \(y(0)=9\) gives \(c=9\). Therefore, the correct equation is \(y=9+4x\). In option C, the rate is \(-4\), so \(y\) decreases instead. Exam tip: To check \(y(0)\), substitute \(x=0\) in the equation.
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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