Jorge bought 16 apples for $8.00.

Question

Let x represent the number of apples purchased, and let y represent the total cost.

Graph the line that represents the proportional relationship.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -1.4 to 7.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -1.4 to 5.4 with ticks spaced every 1 unit(s).

tell me in bold where to mark it

Answer 1

To graph the proportional relationship between the number of apples purchased (x) and the total cost (y), we can determine the slope of the line.

Since Jorge bought 16 apples for $8.00, the unit cost per apple can be calculated as follows:

\[ \text{Cost per apple} = \frac{\text{Total cost}}{\text{Number of apples}} = \frac{8.00}{16} = 0.50 \]

This means for every apple, the cost is $0.50. Therefore, the relationship between the number of apples (x) and the total cost (y) can be expressed as:

\[ y = 0.5x \]

Points to Plot:

You can plot a few key points based on this equation:

1. When \(x = 0\), then \(y = 0.5 \cdot 0 = 0\). (Mark: (0, 0))
2. When \(x = 2\), then \(y = 0.5 \cdot 2 = 1\). (Mark: (2, 1))
3. When \(x = 4\), then \(y = 0.5 \cdot 4 = 2\). (Mark: (4, 2))
4. When \(x = 6\), then \(y = 0.5 \cdot 6 = 3\). (Mark: (6, 3))
5. When \(x = 8\), then \(y = 0.5 \cdot 8 = 4\). (Mark: (8, 4))
6. When \(x = 16\), then \(y = 0.5 \cdot 16 = 8\). (Mark: (16, 8))

Drawing the Graph:

1. Draw the horizontal (x-axis) and vertical (y-axis) lines.
2. Mark the points mentioned above on the graph.
3. Draw a straight line through these points.

Key Points to Bold Mark:

• (0, 0)
• (2, 1)
• (4, 2)
• (6, 3)
• (8, 4)
• (16, 8)

This should create a straight line through the origin that represents the relationship between the number of apples and the cost, confirming it is proportional.