Answer:
(C)c= [tex]\frac{3}{7}[/tex]f
Step-by-step explanation:
Clare uses [tex]9\frac{1}{3}[/tex] cups of flour to make 4 cakes.
It means she uses 1 cup of flour to make [tex]4\div9\frac{1}{3}[/tex] cakes.
Let us simplify that expression first for future use.
[tex]4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}[/tex]
Therefore, Clare uses 1 cup of flour to make [tex]\frac{3}{7}[/tex] cakes.
If Noah follows the same recipe,
He uses f cups of flour to make c cakes
Using Ratio Method
→ Name : Cup : Cake
→ Clare : 1 : [tex]\frac{3}{7}[/tex]
→ Noah : f : c
By using cross multiplication
c X 1 = [tex]\frac{3}{7}[/tex]f
c= [tex]\frac{3}{7}[/tex]f
The equation c= [tex]\frac{3}{7}[/tex]f represents the relationship between c and f
