Answer:
[tex]10\ sticks\ of\ butter[/tex]
Step-by-step explanation:
Let
x ----> the number of sticks of butter
y ----> the number of cakes
In this problem we have the ordered pairs
(2,20) and (8,50)
Find the slope
[tex]m=(50-20)/(8-2)=5\ cakes/stick[/tex]
Find the linear equation in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=5\\point\ (2,20)[/tex]
substitute
[tex]20=5(2)+b[/tex]
solve for b
[tex]b=20-10=10[/tex]
substitute
[tex]y=5x+10[/tex]
For y=60 cakes
substitute in the linear equation and solve for x
[tex]60=5x+10[/tex]
[tex]5x=60-10[/tex]
[tex]5x=50[/tex]
[tex]x=10\ sticks\ of\ butter[/tex]
