Question
31 Apples cost \( \$ 5 \) per pound. Write an equation to represent the relationship between \( p \) pounds and \( c \) cost.
Ask by Chan Blake. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost \( c \) in dollars is equal to 5 times the number of pounds \( p \). So, \( c = 5p \).
Solution
To represent the relationship between \( p \) pounds and \( c \) cost for apples that cost \( \$ 5 \) per pound, we can set up a linear equation.
1. **Identify the known values:**
- Cost per pound = \( 5 \)
- Let \( p \) be the number of pounds.
- Let \( c \) be the total cost.
2. **Formulate the equation:**
The total cost \( c \) is equal to the cost per pound multiplied by the number of pounds. Therefore, the equation can be written as:
\[
c = 5p
\]
This equation represents the relationship between the weight in pounds and the total cost in dollars.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the relationship between the pounds of apples (p) and the cost (c), we note that the price of apples is \( \$5 \) per pound. Therefore, we can express this relationship with the equation \( c = 5p \). This means that for every pound of apples you buy, it will cost you \( \$5 \). If you want to visualize this, think of buying apples as a fun trip to the grocery store. If you have \( 2 \) pounds of apples, your cost will be \( 5 \times 2 \), which equals \( \$10 \). The more pounds you grab, the higher your total cost, all while keeping it as straightforward as a shopping list!
