Mrs. Govin is making cakes for the school bake sale. She needs 2 cups of sugar for every cake she makes. Is the number of cakes Mrs. Govin makes proportional to to the number of cups of sugar?
8cups of sugar
Yes, because the unit rates matches!
yes.
Idk.this problem was hard and this problem was easy at the same time i am too busy running the country
To determine whether the number of cakes Mrs. Govin makes is proportional to the number of cups of sugar, we need to compare the ratio between the two quantities.
If Mrs. Govin needs 2 cups of sugar for every cake she makes, we can set up a simple ratio:
Number of cakes : Number of cups of sugar
Let's pick some numbers to see if the ratio remains the same. Suppose Mrs. Govin makes 1 cake, then the number of cups of sugar required would be 2. If she makes 2 cakes, the cups of sugar required would be 4. Similarly, for 3 cakes, she would need 6 cups of sugar.
Calculating the ratio for each scenario:
For 1 cake: 1 : 2 = 1/2
For 2 cakes: 2 : 4 = 1/2
For 3 cakes: 3 : 6 = 1/2
As you can see, the ratio remains constant at 1:2 or 1/2.
Since the ratio between the number of cakes and the number of cups of sugar remains the same, we can conclude that the number of cakes Mrs. Govin makes is indeed proportional to the number of cups of sugar.