Question
4) Cora plans to buy some calligraphy pens priced at \( \$ 5 \) each. 4)) Write an equation that shows how the total cost, \( y \), depends on the number of calligraphy pens Cora buys, \( x \). (1) Do not include dollar signs in the equation.
Ask by Ward Stephens. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total cost \( y \) depends on the number of calligraphy pens \( x \) as \( y = 5x \).
Solution
To express the total cost \( y \) based on the number of calligraphy pens \( x \) that Cora buys, you can use the following equation:
\[
y = 5x
\]
**Explanation:**
- Each calligraphy pen costs \$5.
- If Cora buys \( x \) pens, the total cost \( y \) is calculated by multiplying the number of pens by the cost per pen.
- Therefore, the equation is \( y = 5x \).
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Bonus Knowledge
The total cost \( y \) can be represented by the equation \( y = 5x \), where \( x \) is the number of calligraphy pens Cora decides to buy. This equation shows a direct relationship between the number of pens and the total amount spent; for every additional pen, Cora spends \( 5 \) more dollars. So, if Cora buys 1 pen, she spends \( 5 \) dollars, and if she buys 4 pens, her total would be \( 20 \) dollars. It’s a simple multiplication that makes budgeting for her new hobby a breeze!