https://file.aiquickdraw.com/mathbot/file/1725593423620b8tec7o9.jpg

The image contains a series of questions related to inverse and direct proportion. Here are the transcriptions of the questions from the image:

---

**1.** Two quantities, \(x\) and \(y\), are in inverse proportion.

The difference in the values of \(y\) when \(x = 15\) and when \(x = 10\) is 20. Find:
  (a) an equation connecting \(x\) and \(y\),
  (b) the value of \(y\) when \(x = 12\),
  (c) the value of \(x\) when \(y = 125\).

---

**2.** Two quantities, \(x\) and \(y\), are in direct proportion.

Find the percentage increase in \(y\) when \(x\) is tripled.

---

**3.** Two quantities, \(x\) and \(y\), are in inverse proportion.

Find the percentage decrease in \(y\) when \(x\) is increased by 100%.

---

**4.** It took a team of 6 hours to prepare a meal for 50 people. How many cooks will be needed to prepare a meal for 75 people if they are required to prepare it in 3 hours?

---

Would you like a step-by-step explanation for solving these problems, or would you prefer a solution for a specific one?

Here are 5 relative questions based on the content:

1. What is the general formula for inverse proportion between two quantities?
2. How do you find the constant of proportionality in direct and inverse relations?
3. How does increasing a value by 100% affect a proportion in inverse relations?
4. What steps are involved in calculating percentage changes in both direct and inverse proportions?
5. How does doubling one variable affect another in both direct and inverse proportions?

**Tip:** For inverse proportion, when one quantity increases, the other decreases in such a way that their product remains constant.

The image contains a series of questions related to inverse and direct proportion:
1. Two quantities, x and y, are in inverse proportion. The difference in the values of y when x = 15 and when x = 10 is 20. Find:
   (a) An equation connecting x and y,
   (b) The value of y when x = 12,
   (c) The value of x when y = 125.
2. Two quantities, x and y, are in direct proportion. Find the percentage increase in y when x is tripled.
3. Two quantities, x and y, are in inverse proportion. Find the percentage decrease in y when x is increased by 100%.
4. It took a team 6 hours to prepare a meal for 50 people. How many cooks will be needed to prepare a meal for 75 people if they are required to prepare it in 3 hours?

Learn how to solve problems involving inverse and direct proportions, including finding percentage changes when quantities are altered. Suitable for students in Grades 9-11, this guide provides step-by-step solutions to equations relating to cooking times, resource allocation, and proportionality relationships.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation