Question

read the description of a proportional relationship.
mauras space shuttle crew accidentally left her behind on a mysterious planet. she soon realizes that her body is aging much faster on this planet than it did on earth. there is a proportional relationship between the number of weeks maura spends on the planet, x, and the number of years she ages, y.
mauras body has aged 4 years after 1 week on the planet. write the equation for the relationship between x and y.
y =

Explanation:

Step1: Recall proportional relationship formula

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

Step2: Find the constant \( k \)

We know that when \( x = 1 \) (week), \( y = 4 \) (years). Substitute into \( y = kx \):
\( 4 = k \times 1 \), so \( k = 4 \).

Step3: Write the equation

Substitute \( k = 4 \) into \( y = kx \), we get \( y = 4x \).

Answer:

\( 4x \)