If (y=2x+30), what happens to (y) when (x) increases from (1) to (11)?
Answer and explanation
Correct answer: It increases by 20
Here, the increase in x is 11 - 1 = 10. In y = 2x + 30, the coefficient of x is 2, so the change in y is 2 × 10 = 20. Therefore, y increases by 20. The constant term 30 changes the starting value of y, not the amount of increase. Exam tip: In a linear equation y = mx + c, multiply the change in x by m to find the change in y.
Frequently asked questions
What is the correct answer to this question?
It increases by 20
Why is this the correct answer?
Here, the increase in x is 11 - 1 = 10. In y = 2x + 30, the coefficient of x is 2, so the change in y is 2 × 10 = 20. Therefore, y increases by 20. The constant term 30 changes the starting value of y, not the amount of increase. Exam tip: In a linear equation y = mx + c, multiply the change in x by m to find the change in y.
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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