t (hours) B (t) (miles per hour) 0 1 - C(t) = 1e4-1 1 8 2...

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t (hours) B (t) (miles per hour) 0 1 - C(t) = √1e4-1² 1 8 2 1.5 3 -5 5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 ≤ t ≤ 4. Values of B(t) for selected times t are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by for 0 ≤ t ≤2 12-3t-1² for 2 < t ≤ 4. (a) How many miles did Chloe travel from time t = 0 to time t = 2 ? 4 11 (b) At time t = 3, is Chloe's speed increasing or decreasing? Give a reason for your answer. (c) Is there a time t, for 0 ≤ t ≤ 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour? Justify your answer. (d) Is there a time t, for 0 ≤ t ≤ 2, at which Brandon's velocity is equal to Chloe's velocity? Justify your answer. t (hours) B (t) (miles per hour) 0 1 - C(t) = √1e4-1² 1 8 2 1.5 3 -5 5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 ≤ t ≤ 4. Values of B(t) for selected times t are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by for 0 ≤ t ≤2 12-3t-1² for 2 < t ≤ 4. (a) How many miles did Chloe travel from time t = 0 to time t = 2 ? 4 11 (b) At time t = 3, is Chloe's speed increasing or decreasing? Give a reason for your answer. (c) Is there a time t, for 0 ≤ t ≤ 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour? Justify your answer. (d) Is there a time t, for 0 ≤ t ≤ 2, at which Brandon's velocity is equal to Chloe's velocity? Justify your answer.