Question

the table shows the conversion of several amounts of liters to liquid pints.

which equation represents the relationship between the number of liters, \\(x\\), and the number of liquid pints, \\(y\\)?

a \\(y = x + 5.55\\)
b \\(y = x - 5.55\\)
c \\(y = 2.11x\\)

Explanation:

⚡ Using what you learned: identifying proportional relationships

Step 1: Identify the constant of proportionality

We check if the relationship is proportional by finding the ratio of \( y \) to \( x \) for each pair in the table:

$$ \frac{10.55}{5} = 2.11 $$

$$ \frac{14.77}{7} = 2.11 $$

$$ \frac{18.99}{9} = 2.11 $$

$$ \frac{23.21}{11} = 2.11 $$

Step 2: Write the equation

Since the ratio \( \frac{y}{x} \) is constantly \( 2.11 \), we can write the equation as:

$$ y = 2.11x $$

This matches option C.

Answer:

C \( y = 2.11x \)