A website subscription is popular amongst individuals in Baguio, $150 available for four months, with an extra $50 fee for each day that payment is not received by the due date. Determine the function of the fee (f) dependent on the number of days not paid. 

To determine the function of the fee $ f(d) $ dependent on the number of days $ d $ the payment is late, we can start by noting that the base subscription cost is $150 for four months. If the payment is late by $ d $ days, an additional fee of $50 per day is charged.

The total fee $ f(d) $ can be represented as:

\[
f(d) = 150 + 50d
\]

Here:

- $ 150 $ is the base subscription cost.
- $ 50d $ represents the additional fee charged for each day the payment is late.

So, the function of the fee dependent on the number of days late is:

\[
f(d) = 150 + 50d
\]

### Do you want more details or have any questions?
Here are 5 related questions:

1. What happens to the total fee if the payment is 5 days late?
2. How does the fee change if the per-day late charge increases to $60?
3. What is the total fee if the payment is made on time?
4. How would the function change if the base subscription was $200 instead of $150?
5. How can you express the late fee separately from the total fee?

**Tip:** Always double-check your functions by substituting values to ensure they reflect the correct relationship.

Understand how to calculate late payment fees for a $150 subscription over four months, with an additional $50 fee per day late. Learn the function of late fees dependent on days not paid. Suitable for high school students learning about functions and linear equations.

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