A) Equation: f = 2.75p
B) 38.5 cups of flour are needed to make 14 pound cakes
Step-by-step explanation:
A)
The table shows the following data:
Pound cakes, p 3 6 9
Cups of flour, f 8.25 16.5 24.75
From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:
[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]
This means that for each additional pound cake, we need 8.25 more cups of flour.
This is a direct relationship between the two variables, therefore we can write their relationship using the equation:
[tex]f=2.75 p[/tex]
B)
Now we can complete the table.
We have to found how many cups of flour are needed when the number of pound cakes is
p = 14
In order to do that, we use the equation found in part A):
f = 2.75p
And substituting p = 14 into the equation, we find
f = (2.75)(14)= 38.5
Which means that 38.5 cups of flour are needed to make 14 pound cakes.
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