In linear decay (y=a-bx), when (b>0), what happens to (y) as (x) increases?
Answer and explanation
Correct answer: (y) decreases
In (y=a-bx), the coefficient of (x) is (-b). Since (b>0), the slope is negative. Therefore, as (x) increases, (bx) increases, so a larger amount is subtracted from (a) and (y) decreases. (y) can be 0 only for a particular value of (x), not always. Exam tip: In a linear equation, a negative coefficient of (x) means that (y) decreases as (x) increases.
Frequently asked questions
What is the correct answer to this question?
(y) decreases
Why is this the correct answer?
In (y=a-bx), the coefficient of (x) is (-b). Since (b>0), the slope is negative. Therefore, as (x) increases, (bx) increases, so a larger amount is subtracted from (a) and (y) decreases. (y) can be 0 only for a particular value of (x), not always. Exam tip: In a linear equation, a negative coefficient of (x) means that (y) decreases as (x) increases.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
