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The problem asks for a linear function that models the total cost, $ t $, for a single order of $ c $ printer ink cartridges. The details provided are:

- Each cartridge costs $18.99.
- There is a flat shipping fee of $7.95, which does not change with the number of cartridges.

### Step-by-step breakdown:

1. **Cost per cartridge:** Each cartridge costs $18.99, so for $ c $ cartridges, the cost is $ 18.99c $.
   
2. **Shipping fee:** The shipping fee is constant at $7.95, regardless of the number of cartridges.

3. **Total cost function:** The total cost $ t $ would be the sum of the cost of the cartridges and the shipping fee. This gives the equation:
   \[
   t = 18.99c + 7.95
   \]

### Correct Answer:
From the options provided, the correct linear function is:
\[
t = 18.99c + 7.95
\]
This corresponds to the last option.

Would you like further explanation or have any questions?

Here are five related questions to expand on this problem:

1. How would the equation change if the cost per cartridge increased to $20?
2. What would the total cost be for ordering 3 cartridges?
3. If the shipping cost was waived for orders above 5 cartridges, how would you adjust the equation?
4. Can you express the number of cartridges $ c $ as a function of the total cost $ t $?
5. How would the equation change if the shipping cost was based on the number of cartridges, say $2 per cartridge?

**Tip:** In problems with a flat fee (like shipping), it is important to remember that this fee does not multiply with the number of items, unlike the per-item cost.

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

Learn how to model the total cost for printer ink cartridges with a flat rate shipping fee. Understand the linear equation t = 18.99c + 7.95, where c is the number of cartridges and t is the total cost. Suitable for Grades 7-9.

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