Question

Rachel can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes.
How many days will it take her to complete the orders?
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7 Line plot graph

Answer 1

To determine how many days Rachel will take to complete orders for more than 32 cakes, we need to calculate how many cakes she can make in a certain number of days:

- Rachel makes 8 cakes per day.
- If she needs to complete **more than 32 cakes**, we first find how many full days it would take to reach 32 cakes.

### Calculation:

1. **Cakes made in 1 day**: 8 cakes
2. **Cakes made in 2 days**: 8 cakes/day × 2 days = 16 cakes
3. **Cakes made in 3 days**: 8 cakes/day × 3 days = 24 cakes
4. **Cakes made in 4 days**: 8 cakes/day × 4 days = 32 cakes
5. **Cakes made in 5 days**: 8 cakes/day × 5 days = 40 cakes

Since 32 is the number of cakes she needs more than, we see:

- After **4 days**, she will have made **32 cakes**, which does not fulfill the "more than" requirement.
- After **5 days**, she will have made **40 cakes**, which fulfills the requirement of more than 32 cakes.

### Conclusion:
Rachel will need **5 days** to complete orders for more than 32 cakes.

### Line Plot Graph:
To represent this information with a line plot, you would typically create a number line and plot the days and corresponding cakes on the line. Below is a simplified version of what you could visualize.

```
Days | 1 | 2 | 3 | 4 | 5
Cakes Made | 8 | 16 | 24 | 32 | 40
```

On the line plot, you would place a point or a mark above the numbers 1 through 5 indicating how many cakes are made each day:

```
|
| *
Cakes |
|
|
| *
|
| *
|
| *
|
|-------------------------
1 2 3 4 5
```

This line plot graph illustrates Rachel's cake production over the course of 5 days.