A recipe for 2 dozen corn muffins call for 3 cups of flour. The number of muffins varies directly with the amount

Question

A) write a direct variation equation for the relationship between the numbers of cups of flour and muffin. (hints, cannot use the number 2 in the equation)

 

b) Use the equation to determine how many cups of the flours are needed to make 6 dozen muffins.

Answer 1

a)

direct variation equation is

 

y= kx

 

2 =k(3)

2 =3k

 

b)2=3k

  k=2/3

 

6 =(2/3)x

 

18 =2x

 

9=x

 

9 cup of flours req to make 6 dozens muffins

 

 

 

 

Answer 2

d represents number of dozens

f represents the cups of flour

 

f = 2d/3

 

How much flour for 6 dozen?