The problem you're dealing with is based on direct variation, which follows the formula:

$y = kx$

Where:

• $y$ varies directly with $x$,
• $k$ is the constant of proportionality.

Given:

• When $y = 70$, $x = 14$.

We can first solve for the constant $k$ using the given values:

$70 = k \times 14$ $k = \frac{70}{14} = 5$

Now that we know $k = 5$, we can solve for $y$ when $x = 24$.

$y = 5 \times 24 = 120$

Final Answer:

$y = 120$

Would you like any further clarification or details?

Here are five related questions:

1. How would the formula change if $y$ varied inversely with $x$?
2. Can you calculate $y$ if $x = 30$ using the same $k$?
3. What happens to the value of $y$ if $x$ is doubled?
4. How would you express $x$ in terms of $y$ and $k$?
5. What is the graphical representation of a direct variation between $x$ and $y$?

Tip: Always start by solving for the constant of proportionality $k$ when working with direct variation problems!