The score for a video game is calculated using *f(x)* = 4.5*x*2 + 7*x* + 2, where *x* represents the levels completed. If Alex completes 50 levels, what will be his score? 

To calculate Alex's score after completing 50 levels, we can substitute \( x = 50 \) into the function \( f(x) = 4.5x^2 + 7x + 2 \).

Given:
\[
f(x) = 4.5x^2 + 7x + 2
\]
Substitute \( x = 50 \) into the function:
\[
f(50) = 4.5(50)^2 + 7(50) + 2
\]

Now, calculate each term:

1. \( 50^2 = 2500 \)
2. \( 4.5 \times 2500 = 11250 \)
3. \( 7 \times 50 = 350 \)

So, 
\[
f(50) = 11250 + 350 + 2
\]
\[
f(50) = 11602
\]

Therefore, Alex's score after completing 50 levels will be **11,602**.

Would you like more details, or do you have any questions?

Here are 5 related questions to explore:

1. How would the score change if Alex completed 60 levels instead?
2. What is the general shape of the graph of the function \( f(x) = 4.5x^2 + 7x + 2 \)?
3. How would you find the number of levels completed if Alex’s score was 12,000?
4. What effect does the coefficient of \( x^2 \) have on the function?
5. How does the function change if a constant is added to or subtracted from the score?

**Tip:** When working with quadratic functions, always perform the operations step by step to avoid mistakes in calculations.

Learn how to calculate Alex's score using the quadratic function f(x) = 4.5x^2 + 7x + 2 with a step-by-step solution. Understand the application of quadratic equations in real-world scoring systems. Suitable for high school students and beyond.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation