The percentage, P, of voters who use electronic voting systems, such as optical scans, in national elections can be modeled by the formula. p=2.6x+24.8

The percentage \( P \) of voters using electronic voting systems can be modeled by the formula:

\[
P = 2.6x + 24.8
\]

Where:
- \( P \) is the percentage of voters using electronic voting systems.
- \( x \) is the number of years since a specific starting point (e.g., since a baseline year like 2000 or another reference year).

This is a linear equation, where 2.6 represents the rate of increase in the percentage per year, and 24.8 represents the initial percentage at the reference year \( x = 0 \).

### Example calculation
If you know the number of years \( x \) since the baseline, you can substitute \( x \) into the formula to calculate the percentage of voters using electronic systems.

#### Questions:
1. What is the baseline year for this equation?
2. Can the percentage exceed 100%? Why or why not?
3. What would the percentage be after 10 years from the reference year?
4. How would the model change if the rate of increase, 2.6, were higher or lower?
5. Can this model be applied to future predictions accurately? Why?

#### Tip:
In real-world applications, linear models like this can be effective over short time frames but may not capture long-term trends if other factors influence voter behavior.

The percentage, P, of voters who use electronic voting systems, such as optical scans, in national elections can be modeled by the formula p=2.6x+24.8.

Explore how to model the percentage of voters using electronic voting systems with the formula P = 2.6x + 24.8. Learn key algebraic concepts like linear equations, slope, and intercept, and how these are used to predict trends in voter participation over time. Suitable for Grades 8-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation