Question

The height of a hill, h(x), in a painting can be written as a

Answer 1

Answer:

6in

Step-by-step explanation:

Answer 2

Answer:

First option: $6\ inches$

Step-by-step explanation:

The complete exercise is: "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 $h(x) = -\frac{1}{5}(x)(x -13)$. What is the height of the hill in the painting 3 inches from the left side of the picture?

You have the following function provided in the exercise:

$h(x) = -\frac{1}{5}(x)(x -13)$

You know that $h(x)$ represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)

Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:

$x=3$

Therefore, you need to find the value of   $h(x)$ when  $x=3$ in order to solve this exercise.  

So, the next step is to substitute  $x=3$ into the function:

$h(x) = -\frac{1}{5}(3)(3 -13)$

And finally, you must evaluate in order to find $h(3)$.

You get that this is:

$h(3) = -\frac{1}{5}(3)(-10)\\\\h(3) = -\frac{1}{5}(-30)\\\\h(3)=6$