Write an equation that shows how the total cost, y, depends on the number of flowers, x.
Understand the Problem
The question is asking for an equation that represents the total cost of flowers and a vase. The total cost, y, depends on the number of flowers, x, and includes a fixed cost for the vase and a variable cost for the flowers.
Answer
$$ y = 10 + 2x $$
Answer for screen readers
$$ y = 10 + 2x $$
Steps to Solve
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Identify the costs involved
Belle buys flowers for $2 each and a vase for $10. -
Fixed and Variable Costs
The vase cost is a fixed cost, which is $10. The variable cost depends on the number of flowers, denoted as $2x$, where $x$ is the number of flowers. -
Combine the costs
To find the total cost, $y$, we sum the fixed cost of the vase and the variable cost of the flowers:
$$ y = 10 + 2x $$
$$ y = 10 + 2x $$
More Information
This equation represents the total cost ($y$) where $10 is the fixed cost for the vase and $2x$ is the cost for $x$ flowers purchased. The approach shows how to model a real-world scenario with an equation.
Tips
- Forgetting to include the fixed cost for the vase.
- Confusing fixed and variable costs, resulting in an incorrect equation.
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