Question

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days. Which statement describes why this sequence is a function? Select each correct answer.
A) The graph of this sequence would pass the vertical line test.
B) Each day corresponds to a unique amount of pennies in this sequence.
C) The graph of this sequence would pass the horizontal line test.
D) Each amount of pennies corresponds to a unique day in this sequence.

Answer 1

Answer:

Hey! The answers are actually A) The graph of this sequence would pass the vertical line test. - and- B) Each day corresponds to a unique amount of pennies in this sequence.

I attached a pic as well.

Hope this helps!

Answer 2

Answer:

All the options are correct.

Step-by-step explanation:

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.

The pattern which she choses is $2^n$ where n denotes the number of days.

A)

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

" Vertical line test: A function can only have one output, y, for each unique input, x " .

Here also y=2^n and x=n.

B)

Each day corresponds to a unique amount of pennies in this sequence.

Since the sequence is increasing, hence option B is correct.

C)

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

A test use to determine if a function is one-to-one.

As for each n we get a unique value.

Hence, option C is correct.

D)

Each amount of pennies corresponds to a unique day in this sequence.

This option is also true as each  amount is a function of number of days.