Write the formula for an exponential function with initial value 26 and growth factor 1.2. (Use t as your variable.)
N = 
 

The formula for an exponential function with an initial value \( N_0 \) and growth factor \( r \) is:

\[
N = N_0 \cdot r^t
\]

Given:
- Initial value \( N_0 = 26 \)
- Growth factor \( r = 1.2 \)

Thus, the formula becomes:

\[
N = 26 \cdot (1.2)^t
\]

Let me know if you'd like more details or have questions!

Here are five questions to deepen understanding:
1. How does changing the growth factor affect the function's behavior?
2. What would the formula look like for a decay factor instead of a growth factor?
3. How can we find the value of \( N \) at a specific time \( t \)?
4. What does the graph of this function look like?
5. How does the initial value impact the overall function?

**Tip:** In exponential functions, a growth factor greater than 1 indicates growth, while a factor between 0 and 1 indicates decay.

Write the formula for an exponential function with initial value 26 and growth factor 1.2. (Use t as your variable.)

Learn how to write the formula for an exponential function with an initial value of 26 and a growth factor of 1.2. This solution provides a step-by-step guide to understanding exponential functions and applying the growth factor formula, suitable for students in Grades 9-12.

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