Tsedenia is on vacation and wants to buy souvenir stickers to remember her trip. The following graph shows how much money she has after she buys each sticker.

Which of the following statements are true about this scenario? Select all options that are true.

(2 points)
Responses

She can only afford 3 stickers
She can only afford 3 stickers

She starts with $24.00
She starts with $24.00

This is an arithmetic sequence
This is an arithmetic sequence

Each sticker costs $3.00
Each sticker costs $3.00

This is a geometric sequence

1 answer

To determine which statements are true, let's analyze each one based on the context given.

  1. She can only afford 3 stickers.
    Without seeing the graph, we cannot confirm this statement accurately. However, if the graph shows that Tsedenia's money decreases by a certain amount with each sticker purchased and only reaches a point where she can afford 3 stickers, then this statement could be true.

  2. She starts with $24.00.
    If the graph indicates that Tsedenia's starting point (the highest point before buying stickers) is $24.00, then this statement is true.

  3. This is an arithmetic sequence.
    If the amount of money she has after each sticker purchase decreases by a constant amount (for example, $3.00 for each sticker), then this would represent an arithmetic sequence.

  4. Each sticker costs $3.00.
    If each sticker purchased corresponds to the consistent drop in money on the graph (for example, decreasing by increments of $3.00), then this statement is true.

  5. This is a geometric sequence.
    A geometric sequence involves a constant ratio between terms, which typically involves multiplying by a constant factor. If the money spent per sticker is the same (e.g., $3.00 per sticker), it does not form a geometric sequence, so this statement is false based on typical definitions.

Given the analysis, it is highly likely that the true statements would be:

  • She starts with $24.00. (If confirmed by the graph)
  • Each sticker costs $3.00. (If confirmed by the graph)
  • This is an arithmetic sequence. (If it follows a consistent decrease by a fixed amount per sticker)

The first option cannot be assessed without more information from the graph. The last option is false as it suggests a geometric sequence which does not apply here based on our assumptions regarding sticker costs and total spending.