Question

passage one

1. identify the interval in where car a has gone further than car b.

Explanation:

Step1: Analyze the graph

We need to compare the distance - time graphs of car A and car B. The \(y\) - axis represents distance (miles) and the \(x\) - axis represents time (minutes).

Step2: Determine the intersection point

Find the point where the two graphs intersect. Let's assume the intersection point has an \(x\) - value (time) of \(t\). Before \(t\), one car is ahead and after \(t\) the other car is ahead.
From the graph, we can see that for \(x> 10\) (where \(x\) is time in minutes), the graph of car A is above the graph of car B. That means for \(x>10\) (time \(t > 10\) minutes), the distance of car A (\(y_A\)) is greater than the distance of car B (\(y_B\)) i.e. \(y_A>y_B\)

Answer:

\((10,\infty)\) (assuming the \(x\) - axis (time) is in minutes and continues beyond the visible part of the graph. If we consider the scale of the given grid (where each square might represent 1 unit on the \(x\) - axis), and since after \(x = 10\) (10 minutes) car A's graph is above car B's graph)