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

`\displaystyle y=(7)/(4).x`

Explanation:

Proportional Relationship

It's the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:

y=k.x

For this problem, y represents the cups of water needed for making x loaves of French bread.

We know Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation:

7=k.4

Solving for k:

`\displaystyle k=(7)/(4)`

The equation to model the problem is:

`\mathbf{\displaystyle y=(7)/(4).x}`