Question

$\text{To make a pizza, you need}\frac{3}{2}\text{lb of bread (y) and}$
$\frac{1}{2}\text{lb of vegetables (x). Write the proportional}$
$\text{relationship between "x" and "y."}$

• A. $\text{y = 3x}$
• B. $\text{y}=\frac{1}{3}\text{x}$
• C. $\text{y = 2x}$
• D. $\text{y}=\frac{1}{2}\text{x}$

Answer 1

The correct option is A $\text{y = 3x}$

A proportional relationship between input (x) and output (y) can be represented by the equation: y = mx

$\text{Where, "m"}=\text{rate of change}=\frac{y}{x}$

$\text{Here, "y" is the amount of bread}=\frac{3}{2}lb$
$\text{"x"is the amount of vegetables}=\frac{1}{2}lb$

$\therefore \text{Slope}=\frac{y}{x}=\frac{\frac{3}{2}}{\frac{1}{2}}=\frac{3}{2}\times \frac{2}{1}=3$

Therefore, the equation for proportional relationship for amount rquired for making a pizza is y = 3x.