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The problem is asking to find the zeros of the function:

\[
y = (5 - x)(15 - 8x)
\]

To find the zeros of this function, we set \( y = 0 \), which gives:

\[
(5 - x)(15 - 8x) = 0
\]

Now, solve each factor individually.

1. **First factor:**
   \[
   5 - x = 0 \quad \Rightarrow \quad x = 5
   \]

2. **Second factor:**
   \[
   15 - 8x = 0 \quad \Rightarrow \quad 8x = 15 \quad \Rightarrow \quad x = \frac{15}{8}
   \]

Thus, the two zeros of the function are:

\[
x = 5 \quad \text{and} \quad x = \frac{15}{8}
\]

Since the problem asks for the answers in increasing order, we have:

\[
x_1 = \frac{15}{8}, \quad x_2 = 5
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen understanding:

1. How do you factor a quadratic equation that isn't already factored like this one?
2. What is the significance of finding the zeros of a function?
3. Can there be a case where a quadratic function has only one zero?
4. How do you graph a function based on its zeros?
5. What happens to the graph of the function if one of the zeros is repeated?

**Tip:** The zeros of a function correspond to the x-values where the graph intersects the x-axis.

Find the zeros of the function y = (5 - x)(15 - 8x) algebraically. Enter the exact answers in increasing order.

Learn how to find the zeros of the factored quadratic function y = (5 - x)(15 - 8x) using the Zero Product Property. This step-by-step guide is perfect for students in Grades 8-10, focusing on algebraic methods and factoring techniques.

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