Question

A point is randomly selected on the surface of a lake that has a maximum depth of 150 feet. Let y be the depth of the lake at the randomly chosen point. (a) What are possible values of y? all positive integers from 0 to 150 all positive integers from 1 to 150 all real numbers from 1 to 150 all real numbers from 0 to 150 (b) Is y discrete or continuous? discrete continuous

Answer 1

a) the possible values of y are all real numbers from 0 to 150.

b) y is a continous variable.

Explanation:

If the maximum depth of the lake is 150 feet, in any point selected on the surface, the depth will be between 0 feet (takes this value of depth only at the shore) and 150 feet.

The depth is a physical measure that can be represented as a continous variable.

In that case, the possible values of y are all real numbers from 0 to 150.