The graph provided shows a linear relationship, where the line starts at the origin (0, 0) and has a positive slope. This indicates that as the x-value increases, the y-value increases at a constant rate.

Let's analyze the options based on the slope:

• Option A: JJ purchases chips for $0.75 per bag.

  • This means for each bag of chips (x-axis), the cost increases by $0.75 (y-axis).
  • The graph would have a slope of 0.75 per unit.

• Option B: Mark buys packs of gum for $1.50 each.

  • This would mean for each pack of gum, the cost increases by $1.50.
  • The slope would be 1.50 per unit.

• Option C: Paula pays $0.50 per ticket at the fair.

  • This implies the cost increases by $0.50 per ticket.
  • The graph would have a slope of 0.50 per unit.

• Option D: Franco purchases flowers for $3.00 each.

  • This suggests the cost increases by $3.00 per flower.
  • The slope of the graph would be 3 per unit.

Slope Calculation:

Looking at the graph, when $x = 1$, $y = 3$, and when $x = 2$, $y = 6$. Therefore, the slope (rate of change) is:

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{6 - 3}{2 - 1} = 3$

Since the slope of the line is 3, Option D ("Franco purchases flowers for $3.00 each") is the best match.

Would you like more details or have any questions?

Related Questions:

1. What is the formula for calculating the slope of a line?
2. Can you explain how to find the slope from a graph?
3. How would a graph of a lower price per unit (e.g., $1.50) look?
4. How can you interpret the y-intercept in this context?
5. What is the significance of a linear relationship in real-world scenarios?

Tip: When analyzing graphs, the slope gives important information about the rate of change between variables.