Write an equation that shows how the total cost, y, depends on the number of calligraphy pens Cora buys, x.
Understand the Problem
The question is asking to express the total cost of calligraphy pens Cora buys, in terms of an equation. The cost per pen is $5, and the number of pens is represented by x. We need to formulate the equation without using dollar signs.
Answer
$$ y = 5x $$
Answer for screen readers
$$ y = 5x $$
Steps to Solve
- Define the Variables
Let ( y ) represent the total cost of the calligraphy pens and ( x ) represent the number of calligraphy pens purchased.
- Establish the Cost per Pen
Each calligraphy pen costs 5. This means for every pen purchased, the total cost increases by 5.
- Formulate the Equation
To express the total cost ( y ) as a function of the number of pens ( x ), we can represent this relationship with the equation: $$ y = 5x $$
$$ y = 5x $$
More Information
This equation indicates that the total cost ( y ) is simply the number of pens ( x ) multiplied by the cost per pen, which is 5. If Cora buys 3 pens, the total cost will be ( 5 \times 3 = 15 ).
Tips
- Forgetting to multiply the cost by the number of pens, which would lead to incorrect total cost representation.
- Including dollar signs in the equation when the instructions specifically state not to.
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