4. The line of best fit is calculated for a data set that tracks the number of miles that passenger cars traveled annually in the $$ U S $$ from 1960 to 2010 . In the model, $$ x=0 $$ represents the year 1960 , and $$ y $$ is the number of miles traveled in billions. If the line of best fit is $$ y=0.0293 x+0.563 $$, approximately how many additional miles were traveled for every 5 years that passed? (A) 0.0293 billion (B) 0.1465 billion (C) 0.5630 billion (D) 0.7100 billion (E) 2.9615 billion

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To determine the additional miles traveled for every 5-year interval using the given linear model $$ y = 0.0293x + 0.563 $$:

1. **Understand the Model:**
   - $$ x $$ represents the number of years since 1960.
   - $$ y $$ is the number of miles traveled in billions annually.
   - The slope $$ 0.0293 $$ indicates the increase in miles (in billions) per year.

2. **Calculate the Increase Over 5 Years:**
   - Since the slope is $$ 0.0293 $$ billion miles per year, over 5 years, the increase would be:
     $$
     0.0293 \, \text{billion miles/year} \times 5 \, \text{years} = 0.1465 \, \text{billion miles}
     $$

Therefore, the number of additional miles traveled for every 5 years that pass is approximately **0.1465 billion**.

**Answer:**  
(B) 0.1465 billion
For every 5 years, approximately 0.1465 billion additional miles were traveled.

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