Final answer:
Britany's distance from her starting point after six additional hours of travel, considering her rate of 102 to 124 miles every 2 hours, is most reasonably estimated at option B, which is 425 miles.
Step-by-step explanation:
The question involves determining the distance Britany has traveled from her starting point in California after a specific period of time. To solve this, we analyze her travel rate and apply it to the given time frame.
Six hours ago, Britany had already traveled 86 miles. Given her travel rate of 102 to 124 miles every 2 hours, we need to calculate the distance for the next 6 hours. Since 6 hours is equivalent to 3 intervals of 2 hours each, we can multiply the minimum and maximum travel rates by 3 to find a reasonable range for how far she could have traveled in that time:
- 102 miles/2 hours * 3 = 306 miles
- 124 miles/2 hours * 3 = 372 miles
Adding the initial 86 miles to both results gives us:
- 306 miles + 86 miles = 392 miles
- 372 miles + 86 miles = 458 miles
Therefore, we now know that Britany has traveled between 392 and 458 miles from her starting point. Among the given options, option B. 425 miles is the only one that falls within our calculated range and is thus the most reasonable estimate of Britany's distance from her starting point in California now.