Question

Which of the following shows the situation below in function notation?

The depth of a lake at a certain point, which is a function of the distance of that point from shore, is 30 feet.

A. Distance from shore(depth) = 30 ft
B. Distance from shore(30 ft) = depth
C. Depth(distance from shore) = 30 ft
D. Depth(30 ft) = distance from shore

Answer 1

Depth distance from shore equals 30 ft

Explanation:

Confirmed from pretest

Answer 2

C

Explanation:

The general functional notation is:

`f(x)=A`

Where it means that
`f` is a function of
`x`, and the answer is
`A`.

From the problem, we know that the depth is a function of distance, and at that specific distance, the depth is 30 ft.

So we see that depth is a function of distance from shore, and the answer is 30 ft.

Matching this to our explanation of functional notation above, we can say that:

Depth(distance from shore) = 30 ft

Answer C is right.