Given the function h(a) = -x^2+ 7x + 14, determine the average rate of change
of the function over the interval 1 < x < 8.

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- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = = = - 2

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted