the answer should be anumber with the correct number of signifact signatures 

The average rate of change needs to be expressed with two significant figures. The calculation is:

\[
\text{Average Rate of Change} = \frac{1.3 - 1.5}{8 - 0} = \frac{-0.2}{8} = -0.025
\]

To express this with two significant figures:

\[
-0.025 \text{ (already in two significant figures)}
\]

So, the average rate of change is \(\boxed{-0.025}\) units of funding per year.

Would you like more details or have any questions?

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Here are 5 related questions you might find interesting:
1. How would the average rate of change differ if \(f(8)\) were 1.7 instead of 1.3?
2. What is the significance of the negative sign in the average rate of change?
3. Can the average rate of change be interpreted as a slope? If so, how?
4. How would you calculate the average rate of change over a non-uniform interval, say from \(t = 2\) to \(t = 5\)?
5. How does the average rate of change relate to instantaneous rates of change in calculus?

**Tip:** When rounding to significant figures, make sure you are consistent with the number of figures you need to report based on the data provided.

Learn how to calculate the average rate of change with two significant figures using a specific example. This problem covers key mathematical concepts including average rate of change, significant figures, and arithmetic operations. Suitable for high school students.

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