In the rule (y=60-5x), what does (5) represent?
Answer and explanation
Correct answer: Amount of decrease for each increase of 1 in x
In the rule y=60-5x, 60 is the initial value. The coefficient of x is -5, so when x increases by 1, the value of y decreases by 5. Therefore, 5 represents the amount of decrease, not the initial value. Exam tip: In a linear rule y=a+bx, b gives the rate of change; a negative b indicates decay.
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What is the correct answer to this question?
Amount of decrease for each increase of 1 in x
Why is this the correct answer?
In the rule y=60-5x, 60 is the initial value. The coefficient of x is -5, so when x increases by 1, the value of y decreases by 5. Therefore, 5 represents the amount of decrease, not the initial value. Exam tip: In a linear rule y=a+bx, b gives the rate of change; a negative b indicates decay.
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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