An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.

Question

Costs of Stickers
Number of
Sheets​ (x)
Cost in
Dollars​ (y)
14
19.00
17
nothing15.75
11
24.75
14
31.50
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Part 1
You can use the equation yequals
  
enter your response here to find the total cost y in dollars for x sheets of stickers.

Answer 1

To form an equation to represent the total cost \( y \) based on the number of sheets \( x \), we can analyze the data provided.

Let's record the valid price data based on the details provided:

• For \( x = 14 \), \( y = 19.00 \)
• For \( x = 17 \), \( y = 15.75 \) (however, this entry appears to have an issue since it's labeled “nothing”)
• For \( x = 11 \), \( y = 24.75 \)
• For \( x = 14 \), \( y = 31.50 \)

Notice that there may be an inconsistency or overlapping values for \( x = 14 \) where we have two different costs.

To establish a linear equation, we can take the pairs that provide a clear relationship. We can use the points:

1. \( (11, 24.75) \)
2. \( (14, 19.00) \)
3. \( (14, 31.50) \)

Given the data is unclear especially for \( x = 14\), let's focus on valid pairs or find the average cost based on consistent data.

Assuming a linear relationship, we can find \( y \) based on the average cost per sheet.

For instance, let's analyze:

1. For \( (11, 24.75) \):

   • The average cost = \( \frac{24.75}{11} \approx 2.25 \) dollars per sheet.

2. Kin \( (14, 31.50) \):

   • The average cost = \( \frac{31.50}{14} \approx 2.25 \) dollars per sheet.

Given these considerations, we could generalize as:

\[ y = 2.25x \]

Thus, the equation you can use to find the total cost \( y \) in dollars for \( x \) sheets of stickers is:

\[ y = 2.25x \]

Make sure to validate the exact prices again if using this for a business or pricing strategy since there seems to be an inconsistency in sticker costs.