Draw an easy-to-understand illustration for a math problem that showcases the relation between the number of eggs used and the number of cookies made in a recipe. It should feature a kitchen scene with a bowl containing three eggs and an open cookbook displaying a recipe for 45 cookies. The counter should be covered with a batch of 45 cookies. No text should be included in the image.

In a recipe, 3 eggs are used to make 45 cookies. Which table shows the relationship between the number of eggs used and the number of cookies made?

A

Well, when it comes to eggs and cookies, it's a cracking good relationship! Let's break it down:

If 3 eggs can make 45 cookies, we can think of it like this:

| Eggs | Cookies |
|------|---------|
| 3 | 45 |

Now, if we want to find out how many cookies we can make with a different number of eggs, we can do a little math:

| Eggs | Cookies |
|------|---------|
| 1 | 15 |
| 2 | 30 |
| 4 | 60 |
| 5 | 75 |

So, there you have it! Whether you go for one egg-citing cookie or enough to fill a clown car, this table shows the relationship between the number of eggs used and the number of cookies made.

To find the relationship between the number of eggs used and the number of cookies made, we need to determine the ratio between them. In this case, we know that 3 eggs are used to make 45 cookies.

We can set up a proportion to find the ratio: Eggs/Cookies = 3/45.

To simplify this proportion, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.

Dividing 3 by 3 gives us 1, and dividing 45 by 3 gives us 15.

So the simplified ratio is 1 egg to 15 cookies: Eggs/Cookies = 1/15.

Now, to represent this relationship in a table, we can list the number of eggs used on one column and the corresponding number of cookies made on another column.

A possible table could look like this:

Number of Eggs | Number of Cookies
-------------------------------
1 | 15
2 | 30
3 | 45
4 | 60
5 | 75

In this table, the number of eggs is multiplied by 15 to find the number of cookies made.

kaas

No table, but 3:45 = 1:15