Which option has (y) decreasing by (3) each time (x) increases and (y(0)=50)?
Answer and explanation
Correct answer: \(y=50-3x\)
For a linear relation, \(y=mx+c\). A decrease of 3 in \(y\) when \(x\) increases by 1 gives slope \(m=-3\). Also, \(y(0)=50\) means the constant term is \(c=50\). Hence, \(y=50-3x\) is correct. Option A has the initial value 50, but it increases by 3 rather than decreasing. Exam tip: substitute \(x=0\) to check \(y(0)\).
Frequently asked questions
What is the correct answer to this question?
\(y=50-3x\)
Why is this the correct answer?
For a linear relation, \(y=mx+c\). A decrease of 3 in \(y\) when \(x\) increases by 1 gives slope \(m=-3\). Also, \(y(0)=50\) means the constant term is \(c=50\). Hence, \(y=50-3x\) is correct. Option A has the initial value 50, but it increases by 3 rather than decreasing. Exam tip: substitute \(x=0\) to check \(y(0)\).
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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