Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven? Eight minutes after being turned on? what is the temperature of the oven T minutes after being turned on?

We can break this down step by step.

### Part 1: Temperature after 8 minutes

Given:
- Initial temperature of the oven = \( 65^\circ \)
- The temperature increases by \( 25^\circ \) per minute.

The temperature after 8 minutes can be calculated using the equation:
\[
T = 65 + 25 \times 8
\]
\[
T = 65 + 200 = 265^\circ
\]

Thus, the temperature of the oven after 8 minutes is **265°**.

### Part 2: Temperature after \( T \) minutes

To find the temperature of the oven after \( T \) minutes, we can create a general equation. Since the temperature increases at a constant rate, the equation would be:
\[
\text{Temperature after } T \text{ minutes} = 65 + 25T
\]

So, the temperature of the oven \( T \) minutes after being turned on is given by:
\[
\boxed{65 + 25T}
\]

### Summary:
1. The temperature of the oven after 8 minutes is **265°**.
2. The temperature after \( T \) minutes is given by the equation \( 65 + 25T \).

Would you like further details or have any questions?

Here are some related questions you might want to explore:
1. What would the temperature be after 15 minutes?
2. How long will it take for the oven to reach 400°?
3. If the oven was preheated to 100° initially, how would the formula change?
4. What is the average temperature increase per minute for the first 10 minutes?
5. How would the problem change if the oven cooled down at 10° per minute?

**Tip**: In linear problems like this, the key is recognizing the initial condition and the constant rate of change!

Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven? Eight minutes after being turned on? What is the temperature of the oven T minutes after being turned on?

Discover how to calculate the oven temperature after being turned on using a simple linear equation. Learn how the temperature increases by 25° per minute starting from 65°. Suitable for students in Grades 6-8, this example covers key concepts in linear equations and rates of change.

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