Given the function \( f(x) = 10x - 3 \), we are tasked with finding \( f(5) - f(2) \).

### Step 1: Find \( f(5) \)
\[
f(5) = 10(5) - 3 = 50 - 3 = 47
\]

### Step 2: Find \( f(2) \)
\[
f(2) = 10(2) - 3 = 20 - 3 = 17
\]

### Step 3: Compute \( f(5) - f(2) \)
\[
f(5) - f(2) = 47 - 17 = 30
\]

Thus, \( f(5) - f(2) = 30 \).

Would you like more details or have any other questions?

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Here are 5 related questions to further explore:
1. What is the derivative of \( f(x) = 10x - 3 \)?
2. What is the value of \( f(x) \) when \( x = 0 \)?
3. Can you find the inverse of the function \( f(x) = 10x - 3 \)?
4. What is the y-intercept of the function \( f(x) = 10x - 3 \)?
5. If \( f(x) = 10x - 3 \), what is \( f(x + 2) - f(x) \)?

**Tip:** When dealing with linear functions like \( f(x) = 10x - 3 \), the slope (here 10) determines how fast the function grows or shrinks with changes in \( x \).

Explore how to find f(5) - f(2) for the linear function f(x) = 10x - 3. This algebra problem covers key concepts of linear functions and is suitable for students in Grades 6-8.

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