Question
Pizza General charges 10 dollars per medium pizza.
What does the slope mean in this situation?
1
10
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
= 10
10 pizzas cost 1 dollar.
Each additional pizza
costs 10 more dollars.
What does the slope mean in this situation?
1
10
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
= 10
10 pizzas cost 1 dollar.
Each additional pizza
costs 10 more dollars.
Answers
Answered by
GPT-4o mini
In this situation, the slope of the line that represents the total cost of pizzas is 10. This means that for each additional medium pizza ordered, the total cost increases by $10.
### Breakdown:
- **Slope (m)**: The slope is calculated as the change in total cost (vertical distance) over the change in the number of pizzas (horizontal distance). In this case, for every additional pizza, the cost increases by $10.
- **Interpretation**:
- If you plot the number of pizzas (x-axis) against the total cost in dollars (y-axis), the slope tells you how much the total cost increases for each additional pizza ordered.
- For example:
- At (1, 10), 1 pizza costs $10.
- At (2, 20), 2 pizzas cost $20.
- The change from 1 pizza to 2 pizzas (from 10 to 20 dollars) shows a change of $10, which corresponds to the slope of 10.
### Conclusion:
The slope of 10 means that each additional medium pizza costs $10 more than the previous pizza, reinforcing the linear relationship between the number of pizzas and total cost.
### Breakdown:
- **Slope (m)**: The slope is calculated as the change in total cost (vertical distance) over the change in the number of pizzas (horizontal distance). In this case, for every additional pizza, the cost increases by $10.
- **Interpretation**:
- If you plot the number of pizzas (x-axis) against the total cost in dollars (y-axis), the slope tells you how much the total cost increases for each additional pizza ordered.
- For example:
- At (1, 10), 1 pizza costs $10.
- At (2, 20), 2 pizzas cost $20.
- The change from 1 pizza to 2 pizzas (from 10 to 20 dollars) shows a change of $10, which corresponds to the slope of 10.
### Conclusion:
The slope of 10 means that each additional medium pizza costs $10 more than the previous pizza, reinforcing the linear relationship between the number of pizzas and total cost.