The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches. h of x is equal to negative 1 fifth x open paren x minus 13 close paren What is the height of the hill in the painting 3 inches from the left side of the picture?
Substitute x = 3 into h(x) = −(1/5)x(x − 13): h(3) = −(1/5)(3)(3 − 13) = −(1/5)(3)(−10) = 6. The hill is 6 inches high, which is choice A.
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