If f of x is a linear function, what is the value of n ? x f of x negative 4 negative 25 negative 1 negative 10 n 20

Because f is linear, its slope is constant. From the points (-4, -25) and (-1, -10), the slope is [-10 - (-25)] / [-1 - (-4)] = 15/3 = 5. To increase f(x) from -10 to 20, x must increase by 30/5 = 6, so n = -1 + 6 = 5. The correct choice is D, 5.

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