Question

Pizza General charges 10 dollars per medium pizza.
Fill in the vertical distance from (1, 10) to (2, 20) on the graph. In other words, if you buy 1 more pizza, by how much does the total cost change?
1
x
y
m
(1, 10)(2, 20)
0
1
2
3
4
5
6
7
8
9
10
11
0
5
10
15
20
25
30
35
40
45
50
55
60
Number of pizzas
Total cost in dollars
Slope =
vertical distance
horizontal distance

Answer 1

To find the vertical distance from the point (1, 10) to the point (2, 20) on the graph, we need to calculate the change in total cost when you buy one more pizza.

1. **Identify the y-coordinates of the two points:**
- At (1, 10): The total cost when you buy 1 medium pizza is $10.
- At (2, 20): The total cost when you buy 2 medium pizzas is $20.

2. **Calculate the vertical distance (change in cost):**
- Vertical distance = Cost at (2, 20) - Cost at (1, 10)
- Vertical distance = 20 - 10 = 10

This indicates that the total cost increases by $10 when you buy one more pizza.

### Summary:
- **Vertical distance:** 10 (the increase in total cost)
- **Horizontal distance:** 1 (the increase in the number of pizzas from 1 to 2)

### Slope Calculation:
The slope is calculated as the ratio of the vertical distance to the horizontal distance:

\[ \text{Slope} = \frac{\text{Vertical distance}}{\text{Horizontal distance}} = \frac{10}{1} = 10 \]

Thus:
- **Slope:** 10
- **Vertical Distance:** 10
- **Horizontal Distance:** 1