Bella uses 2 sticks of butter for 20 cakes. she used 8 sticks of butter for 50 cakes. how many sticks of butter will be needed for 60 cakes.

Answer:10 sticks would be needed for 60 cakes.

Step-by-step explanation:

Bella uses 2 sticks of butter for 20 cakes. she used 8 sticks of butter for 50 cakes. Therefore, the number of cakes that she made per sticks of butter would be

(50 - 20) / (8 - 2) = 30/6 = 5 cakes per stick.

If we plot these values on a graph, the equation of the straight line can be represented in the slope intercept form, y = mx + c

Where

m = slope

c = intercept

We already got m as 6 cakes per stick. To determine the intercept c, we would substitute m = 5, x = 8 and y = 50 into y = mx + c. It becomes

50 = 5 * 8 + c

50 = 40 + c

c = 50 - 40 = 10

The equation becomes

y = 5x + 10

Therefore, the number of sticks of butter that would be needed for 60 cakes would be

60 = 5x + 10

5x = 60 - 10 = 50

x = 50/5 = 10

10 sticks because if she used 2 sticks for 20 cakes and she used 8 sticks for 50 cakes then for 60 cakes she would use 10 sticks because for every 10 cakes you would multiply it by 2