Question

A medium sized red velvet cake at the local bakery costs $20. The table below shows the total cost for each number of cakes.
Start by recording the cost of 1 cake.
Number of cakes Total cost in dollars
1
2
3
4
5
You got it!
Now, fill in the table to show the total cost of 2, 3, 4 and 5 cakes.
Number of cakes Total cost in dollars
1 20
2
3
4
5
Great job!
Use the table to plot the points on a coordinate plane.
Number of cakes Total cost in dollars
1 20
2 40
3 60
4 80
5 100
Good work!
The points are now connected with a line, m. Find the slope of line m.
x
y
m
0
1
2
3
4
5
6
7
8
9
10
11
12
0
10
20
30
40
50
60
70
80
90
100
110
120
Number of cakes
Total cost in dollars
Slope =
Excellent!
What does the slope mean in this situation?
2
40
x
y
m
(1, 20)(3, 60)
0
1
2
3
4
5
6
7
8
9
10
11
12
0
10
20
30
40
50
60
70
80
90
100
110
120
Number of cakes
Total cost in dollars
Slope
=
vertical distance
horizontal distance
=
20



A. 20 cakes cost 1 dollar.

B. Each additional cake costs $20.

Answer 1

Let's summarize the questions and determine the answer step-by-step.

1. Given that the cost of one medium-sized red velvet cake is $20, we can complete the table as follows:

| Number of cakes | Total cost in dollars |
|----------------|-----------------------|
| 1 | 20 |
| 2 | 40 |
| 3 | 60 |
| 4 | 80 |
| 5 | 100 |

2. To find the slope of line \( m \), we take two points from the table. Let's consider the points (1, 20) and (3, 60) for calculation:

\[
\text{slope} = \frac{\Delta y}{\Delta x} = \frac{60 - 20}{3 - 1} = \frac{40}{2} = 20
\]

Thus, the slope \( m \) is **20**.

3. The slope represents the rate of change in the total cost per additional cake:

\[
\text{Slope} = \frac{\text{Vertical distance}}{\text{Horizontal distance}} = \frac{20}{1} = 20
\]

Since every additional cake costs $20, we can conclude:

**B. Each additional cake costs $20.**

This means that the cost increases by $20 for each additional cake bought.