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(x) = (x)(x – 13)


What is the height of the hill in the painting 3 inches from the left side of the picture?



inches

Verified Answer :

For this case we have the following function:

\(h (x) = (x) (x - 13)
\)

To answer the question, we must calculate the value of h (x) when x equals 3.

We then have to substitute values:


\(h (3) = (3) (3 - 13)
\)

Rewriting the equation we have:

\(h (3) = (3) (- 10)

h (3) = -30
\)

Answer:

The height of the hill in the painting 3 inches from the left side of the picture is:


\(h (3) = -30
\)

Note: The value of the function is negative. It is recommended to review the function again. The result must be positive.

Answer:

A. 6 inches

Step-by-step explanation:

:)