Question

read the description of a proportional relationship.
clare wants to fill her water bottle between classes, but the water fountain next to her classroom is frustratingly slow. there is a proportional relationship between the amount of water (in ounces) clare puts in her water bottle, x, and how long (in seconds) it takes to get that amount, y.
it takes clare 6 seconds to get 1 ounce of water in her bottle. write the equation for the relationship between x and y.
y = \boxed{}

Explanation:

Step1: Recall proportional relationship formula

A proportional relationship is of the form \( y = kx \), where \( k \) is the constant of proportionality.

Step2: Determine the constant of proportionality \( k \)

We know that when \( x = 1 \) (1 ounce), \( y = 6 \) (6 seconds). Substitute into \( y = kx \): \( 6 = k \times 1 \), so \( k = 6 \).

Step3: Write the equation

Substitute \( k = 6 \) into \( y = kx \), we get \( y = 6x \).

Answer:

\( 6x \)