93. Distance Between Cars Cars A and B are traveling in the same direction. Their distances in miles north of St. Louis after $x$ hours are computed by the functions $f_A$ and $f_B$, respectively. The graphs of $f_A$ and $f_B$ are shown in the figure for $0 \le x \le 10$. (a) Which car is traveling faster? Explain. (b) How many hours elapse before the two cars are the same distance from St. Louis? How far are they from St. Louis when this occurs? (c) During what time interval is car B farther from St. Louis than car A? y 700 y = f_A(x) 600 500 400 y = f_B(x) 300 200 (2.5, 225) 100 Distance (miles) 0 1 2 3 4 5 6 7 8 9 10 Time (hours) x
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The x-axis represents time in hours, and the y-axis represents distance in miles. We can see that car A is represented by the line labeled "y = fAx" and car B is represented by the line labeled "V = fBx". To determine which car is traveling faster, we need to Show more…
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Distance between Cars Cars A and B are both traveling in the same direction. Their distances in miles north of St. Louis after $x$ hours are computed by the functions $f_{A}$ and $f_{B}$ respectively. The graphs of $f_{A}$ and $f_{B}$ are shown in the figure for $0 \leq x \leq 10$ (a) Which car is traveling faster? Explain. (b) How many hours elapse before the two cars are the same distance from St. Louis? How far are they from St. Louis when this occurs? (c) During what time interval is car $\mathbf{B}$ farther from $\mathbf{S t}$. Louis than car A?
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