In the rule (y=3x+10), what does the coefficient of (x) mean?
Answer and explanation
Correct answer: For every increase of 1 in x, y increases by 3
In the rule (y=3x+10), the coefficient of x is 3. It means that y increases by 3 units for every 1-unit increase in x. The number 10 is the constant term and gives the initial value when x=0, so it is not the rate of increase. Exam tip: in the linear form y=mx+c, m is the rate of change and c is the initial value.
Frequently asked questions
What is the correct answer to this question?
For every increase of 1 in x, y increases by 3
Why is this the correct answer?
In the rule (y=3x+10), the coefficient of x is 3. It means that y increases by 3 units for every 1-unit increase in x. The number 10 is the constant term and gives the initial value when x=0, so it is not the rate of increase. Exam tip: in the linear form y=mx+c, m is the rate of change and c is the initial value.
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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