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The problem presented is as follows:

Ricky wants to buy a video camera that costs $850. He already has $300 saved and can afford to save $40 per week. The goal is to find the inequality that can be solved to determine the number of weeks $ t $ it will take for Ricky to save enough to afford the camera.

### Analysis:
- Ricky already has $300 saved.
- Each week, Ricky saves an additional $40.
- The total amount Ricky needs is $850.

### Equation Setup:
To find the number of weeks $ t $, Ricky's total savings (after $ t $ weeks) will be the initial $300 plus $40 per week, which can be expressed as:
\[
\text{Total savings} = 300 + 40t
\]
This amount must be at least $850, which leads to the inequality:
\[
300 + 40t \geq 850
\]

### Solution:
The inequality that represents this situation is:
\[
300 + 40t \geq 850
\]
Looking at the answer choices in the image, this corresponds to option **C**.

Would you like me to go over the solution in more detail or clarify any other points?

Here are some related questions to deepen understanding:

1. What steps are required to solve the inequality $ 300 + 40t \geq 850 $?
2. How would the inequality change if Ricky could only save $30 per week?
3. What if Ricky already had $400 saved—how would that impact the number of weeks?
4. Can you graph the inequality and interpret the solution visually?
5. What if the camera cost $950—how many more weeks would Ricky need?

**Tip:** When solving word problems, it’s helpful to break down the problem into smaller parts (like weekly savings, initial savings, and total cost) before setting up an equation or inequality.

Ricky wants to buy a video camera that costs $850. He already has $300 to spend on it and can afford to save $40 per week towards its purchase. Which of the following inequalities can be solved to find t, the number of weeks that Ricky must save to afford the camera?

Solve the inequality to find out how many weeks Ricky must save to buy a camera. The problem involves algebraic concepts such as inequalities and linear equations, making it ideal for students in grades 7-8.

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