Question

I’ve been stuck on this question for a while someone please help me

Answer 1

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:

$m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75$

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:

$f=2.75 p$

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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