If (y=130-8x), what is the difference between (y) at (x=3) and (y) at (x=10)?
Answer and explanation
Correct answer: 56
At \(x=3\), \(y=130-8(3)=106\). At \(x=10\), \(y=130-8(10)=50\). Therefore, the difference between the two \(y\)-values is \(106-50=56\). Choosing 48 would result from using an incorrect change in \(x\) instead of the actual difference, \(10-3=7\). Exam tip: for a linear expression, calculate both values of \(y\) and subtract them to find the difference reliably.
Frequently asked questions
What is the correct answer to this question?
56
Why is this the correct answer?
At \(x=3\), \(y=130-8(3)=106\). At \(x=10\), \(y=130-8(10)=50\). Therefore, the difference between the two \(y\)-values is \(106-50=56\). Choosing 48 would result from using an incorrect change in \(x\) instead of the actual difference, \(10-3=7\). Exam tip: for a linear expression, calculate both values of \(y\) and subtract them to find the difference reliably.
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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