Three of these are wrong. Find the one that holds.
Exercise and reference answers
- Questions
- Question
- Three of these statements about direct proportion are false.
- Choices
- Item
- The ratio x/y stays constant
- Correct
- Yes
- Explanation
- That defines INVERSE proportion.
- Item
- The product xy stays constant
- Explanation
- In direct proportion they move together.
- Item
- One quantity falls as the other rises
- Explanation
- More workers means LESS time, so that is inverse.
- Item
- It applies to workers and time
- Question
- Three of these statements about inverse proportion are false.
- Choices
- Item
- The product xy stays constant
- Correct
- Yes
- Explanation
- That defines DIRECT proportion.
- Item
- The ratio x/y stays constant
- Explanation
- One rises while the other falls.
- Item
- Both quantities rise together
- Explanation
- Buying more costs more, so that is direct.
- Item
- It applies to quantity and cost
Explanation
Each trap swaps the two kinds of variation. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.