Respuesta :

Answer:

part A) [tex]f=2.75p[/tex]

par B) [tex]38.5\ cups\ of\ flour[/tex]

Step-by-step explanation:

Part A)

Let

p ----> the number of pounds of cake

f ----> the number of cups of flour

we know that

A relationship between two variables, p, and f, represent a proportional variation if it can be expressed in the form [tex]k=\frac{f}{p}[/tex] or [tex]f=kp[/tex]

Find the value of k

For p=3, f=8.25 ----> [tex]k=\frac{8.25}{3}=2.75[/tex]

therefore

The linear equation is

[tex]f=2.75p[/tex]

Part B) we have

For p=14

substitute in the equation and solve for f

[tex]f=2.75(14)=38.5\ cups[/tex]