If (y=240-11x), what happens to (y) when (x) increases from (3) to (13)?
Answer and explanation
Correct answer: decreases by 110
Here, the increase in x is 13−3=10. The coefficient of x in the equation is −11, so the change in y is −11×10=−110. Therefore, y decreases by 110. A decrease of 99 is incorrect because the change in x is 10, not 9. Exam tip: In a linear equation y=a+bx, the total change is b×Δx.
Frequently asked questions
What is the correct answer to this question?
decreases by 110
Why is this the correct answer?
Here, the increase in x is 13−3=10. The coefficient of x in the equation is −11, so the change in y is −11×10=−110. Therefore, y decreases by 110. A decrease of 99 is incorrect because the change in x is 10, not 9. Exam tip: In a linear equation y=a+bx, the total change is b×Δx.
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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