Variation

Question 1

How do you solve problems involving direct variation?

Answer 1

1. Understand Direct Variation: If 𝑦 varies directly as 𝑥, then 𝑦 = 𝑘𝑥 where
   𝑘 is a constant.
2. Find 𝑘: Use given values to find 𝑘.
3. Solve: Substitute 𝑘 and solve for the unknown variable.

Question 2

How do you solve problems involving inverse variation?

Answer 2

1. Understand Inverse Variation: If 𝑦 varies inversely as 𝑥, then 𝑦 = 𝑘 / 𝑥 where 𝑘 is a constant.
2. Find 𝑘: Use given values to find 𝑘.
3. Solve: Substitute 𝑘 and solve for the unknown variable.

Question 3

How do you solve problems involving joint variation?

Answer 3

1. Understand Joint Variation: If 𝑦 varies jointly as 𝑥 and 𝑧, then 𝑦 = 𝑘𝑥𝑧 where
   𝑘 is a constant.
2. Find 𝑘: Use given values to find 𝑘.
3. Solve: Substitute 𝑘 and solve for the unknown variable.

Question 4

How do you solve problems involving percentage increase or decrease in variation?

Answer 4

1. Understand Percentage Change: Use the formula PercentageChange = ChangeinValue / OriginalValue × 100%
2. Calculate Increase/Decrease: Determine the change (increase or decrease) from the original value.
3. Solve: Apply the percentage change formula to find the new value or the percentage.