Trey runs 7 miles in 50 minutes. at the same rate, how many miles would he run in 75 minutes?
1 answer:
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Step-by-step explanation:
Use formula to find the slope/gradient
(-5, -1) = (x1, y1)
(5, 11) = (x2, y2)
So,
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so