Question

read the description of a proportional relationship.
molly and her friends set out to sea on their annual fishing trip. there is a proportional relationship between the time (in hours) molly and her friends spend sailing, x, and their distance from shore (in miles), y.
after sailing for 3 hours, they are 24 miles from shore. write the equation for the relationship between x and y.
y = \boxed{}

Explanation:

Step1: Recall proportional relationship formula

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

Step2: Calculate the constant \( k \)

We know that when \( x = 3 \) hours, \( y = 24 \) miles. Substitute these values into the formula \( y = kx \):
\( 24 = k \times 3 \)
To find \( k \), divide both sides by 3: \( k=\frac{24}{3}=8 \)

Step3: Write the equation

Substitute \( k = 8 \) back into the proportional relationship formula \( y = kx \), we get \( y = 8x \)

Answer:

\( 8x \)