Question
Great Oaks Legacy \( \triangle \) The \( x \)-axis on a graph represents the number of identical items purchased. The \( y \)-axis represents the total cost in dollars. What does the slope of the graph represent? the total cost for all the items the total number of items bought the unit cost per item the number of items per dollar
Ask by Bolton Henry. in the United States
Jan 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope represents the unit cost per item.
Solution
The slope of a graph represents the rate at which one quantity changes with respect to another. In this case:
- **\( x \)-axis:** Number of identical items purchased.
- **\( y \)-axis:** Total cost in dollars.
The slope (\( m \)) is calculated as the change in total cost divided by the change in the number of items (\( \Delta y / \Delta x \)). This represents how much the total cost increases for each additional item purchased.
Therefore, the slope **\( m \)** indicates the **unit cost per item**, showing the cost associated with purchasing one more item.
**Correct Answer:**
the unit cost per item
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Simplify this solution Bonus Knowledge
The slope of the graph in this scenario represents the unit cost per item. Each step you take along the x-axis reflects the purchase of one more identical item, and the corresponding change in the total cost on the y-axis directly reveals how much each individual item costs. Essentially, the slope tells you how much you need to part with in dollars to bring one more item home. To visualize this, think of the graph as a shopping trip. The steeper the slope, the more you’re dishing out for each item bought! It’s like that impulse buy at the store – it can really hit your wallet! So, keep an eye on that slope; it’s your budget’s best friend (or sometimes, not so much).
