Question

Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .

Answer 1

Given:

Given that, Marley uses 7 cups of water to make 4 loaves of French bread.

To find:

We need to write a equation which can be used to model the total cups of water needed $y$ for making $x$ loaves of French bread.

Solution:

According to the question, Marley uses 7 cups of water to make 4 loaves of French bread.

So, for 1 cup of water, we can make $\frac{4}{7}$ loaves of French bread.

Let the total cups of water is equal to $y$.

Let the number of loaves of French bread is equal to $x$.

For 1 cup of water, we can make $\frac{4}{7}$ loaves of French bread.

So, for $y$ cups of water, we can make $\frac{4}{7}y$ loaves of French bread.

Now, writing the above sentence in the form of equation,

$\Rightarrow x=\frac{4}{7} y$

$\Rightarrow \frac{7}{4}x= y$

$\Rightarrow y= \frac{7}{4}x$

Therefore, required equation is $y= \frac{7}{4}x$.