Which expression represents the total cost of the pizza?
Understand the Problem
The question is asking which mathematical expression calculates the total cost for Samantha when she buys 'p' pizzas, each costing $14. We need to derive the formula that corresponds to this scenario correctly.
Answer
The total cost of the pizzas is \( 14p \).
Answer for screen readers
The expression that represents the total cost of the pizzas is ( 14p ).
Steps to Solve
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Identify the cost of one pizza Each pizza costs $14.
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Determine the total cost for 'p' pizzas To find the total cost when buying 'p' pizzas, multiply the cost of one pizza by the number of pizzas. This can be expressed as: $$ \text{Total Cost} = 14 \times p $$
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Simplify the expression The total cost can be rewritten as: $$ \text{Total Cost} = 14p $$
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Select the correct expression Among the options given, the expression that correctly represents the total cost of 'p' pizzas is: $$ 14p $$
The expression that represents the total cost of the pizzas is ( 14p ).
More Information
This formula shows that for every pizza bought, $14 is added to the total cost. For example, if Samantha buys 3 pizzas, the total cost will be ( 14 \times 3 = 42 ).
Tips
- Adding instead of multiplying: Some may confuse the process by adding the cost to the number of pizzas (e.g., ( 14 + p )), rather than multiplying them.
- Dividing the cost: Choosing ( \frac{p}{14} ) suggests a misunderstanding of how costs accumulate, which isn't relevant in this scenario.
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