Please help
Cassie opens a bank account with two dollars. She adds four dollars on Day 1, eight
dollars on Day 2, and sixteen dollars on Day 3. She continues this pattern for 15
days.
Which statement describes why this sequence is a function.
Select each correct answer.
The graph of this sequence would pass the horizontal line test.
The graph of this sequence would pass the vertical line test.
Each amount of dollars corresponds to a unique day in this sequence.
None of the above.

Question

16-12-2021
Mathematics

contestada

Please help
Cassie opens a bank account with two dollars. She adds four dollars on Day 1, eight
dollars on Day 2, and sixteen dollars on Day 3. She continues this pattern for 15
days.
Which statement describes why this sequence is a function.
Select each correct answer.
The graph of this sequence would pass the horizontal line test.
The graph of this sequence would pass the vertical line test.
Each amount of dollars corresponds to a unique day in this sequence.
None of the above.

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joaobezerra joaobezerra · Answer 1 · 2021-12-28T12:09:29+01:00

Using the definition of a function, it is found that the statement that describes why this sequence is a function is:

The graph of this sequence would pass the vertical line test.

A function relates each value of the input to one value of the output, hence, option b is incorrect.

On a graph, each value of x(horizontal axis) is mapped to a value of y(vertical axis), hence, a vertical line test can be applied to determine whether the relation is a function.

In this problem:

The input is the day.

The output is the balance.

For each day, there is only one resulting balance, that is, only one output, hence the graph that models this sequence would pass the vertical line test.

To learn more about the definition of a function, you can take a look at https://brainly.com/question/12463448