Question

read the description of a proportional relationship.
maura’s 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.
the equation that models this relationship is y = 4x.
how many weeks on this mysterious planet will cause maura’s body to age 12 years? write your answer as a whole number or decimal.
____ weeks

Explanation:

Step1: Identify the equation

We know the relationship is modeled by \( y = 4x \), where \( y \) is the number of years and \( x \) is the number of weeks. We need to find \( x \) when \( y = 12 \).

Step2: Substitute \( y = 12 \) into the equation

Substitute \( y = 12 \) into \( y = 4x \), we get \( 12 = 4x \).

Step3: Solve for \( x \)

Divide both sides of the equation \( 12 = 4x \) by 4: \( x=\frac{12}{4}=3 \).

Answer:

3