Three different recipes each make a different number of cookies and require a different amount of flour.
Recipe 1: 1 dozen cookies; 1 cup of flour
Recipe 2: 3 dozen cookies; 3.5 cups of flour
Recipe 3: 5 dozen cookies; 6 cups of flour
Determine if the three recipes use a proportional amount of flour.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
Yes, it is proportional because the cookies increase by 2 dozen for every 2.5 cups of flour.
No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
No, it is not proportional because the number of cookies and cups of flour could not be zero at the same time.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
To determine if the three recipes use a proportional amount of flour, we can compare the ratios between the number of cookies and the amount of flour required for each recipe.
For Recipe 1:
Number of cookies: 1 dozen = 12 cookies
Amount of flour: 1 cup
For Recipe 2:
Number of cookies: 3 dozen = 36 cookies
Amount of flour: 3.5 cups
For Recipe 3:
Number of cookies: 5 dozen = 60 cookies
Amount of flour: 6 cups
Now, let's compare the ratios between the number of cookies and the amount of flour for each recipe:
For Recipe 1, the ratio is 12 cookies: 1 cup of flour.
For Recipe 2, the ratio is 36 cookies: 3.5 cups of flour.
For Recipe 3, the ratio is 60 cookies: 6 cups of flour.
To determine if the ratios are equivalent, we can simplify each ratio:
For Recipe 1, the simplified ratio is 12 cookies: 1 cup of flour.
For Recipe 2, the simplified ratio is 18 cookies: 1.75 cups of flour. (Divided both numbers by 2)
For Recipe 3, the simplified ratio is 10 cookies: 1 cup of flour. (Divided both numbers by 6)
Since all the simplified ratios result in a cookie to flour ratio of 12:1, the three recipes use a proportional amount of flour.