If (y=5x+60), what happens to (y) when (x) increases from (4) to (14)?
Answer and explanation
Correct answer: It increases by (50)
The increase in (x) is (14-4=10). The coefficient of (x) is (5), so the change in (y) is (5×10=50). Checking directly, (y=80) at (x=4) and (y=130) at (x=14); hence (y) increases by (50). The constant term (60) affects the starting value, not the change. Exam tip: for a linear equation (y=mx+c), use (Δy=mΔx).
Frequently asked questions
What is the correct answer to this question?
It increases by (50)
Why is this the correct answer?
The increase in (x) is (14-4=10). The coefficient of (x) is (5), so the change in (y) is (5×10=50). Checking directly, (y=80) at (x=4) and (y=130) at (x=14); hence (y) increases by (50). The constant term (60) affects the starting value, not the change. Exam tip: for a linear equation (y=mx+c), use (Δy=mΔx).
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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