Write an equation that relates the quantities.
Upper L varies jointly with g and a. The constant of proportionality is 3/4

To express the relationship where \( L \) varies jointly with \( g \) and \( a \), and the constant of proportionality is \( \frac{3}{4} \), the equation is written as:

\[
L = \frac{3}{4} g a
\]

This means that \( L \) is directly proportional to the product of \( g \) and \( a \), scaled by the factor \( \frac{3}{4} \).

Would you like further details or clarifications on this concept?

Here are 5 related questions:
1. How would the equation change if the constant of proportionality was \( 2 \) instead of \( \frac{3}{4} \)?
2. If \( g = 8 \) and \( a = 5 \), what is the value of \( L \)?
3. Can you solve for \( g \) if \( L \) and \( a \) are known?
4. How does the value of \( L \) change if \( a \) is doubled while \( g \) remains constant?
5. What real-world examples might involve joint variation of this kind?

**Tip:** In joint variation problems, the quantity depends on the product of two or more variables, with a constant of proportionality scaling that product.

Write an equation that relates the quantities. Upper L varies jointly with g and a. The constant of proportionality is 3/4.

Learn how to express the joint variation equation where L varies jointly with g and a, and the constant of proportionality is 3/4. This algebra problem introduces the concept of joint variation and demonstrates the relationship through a detailed formula, perfect for students in Grades 8-10.

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