Question

alexas 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 alexa spends on the planet, x, and the number of years she ages, y. write an equation for the relationship between x and y. simplify any fractions. y =

Explanation:

Step1: Identify proportional form

Proportional relationships follow $y=kx$, where $k$ is the constant of proportionality.

Step2: Find k from the graph

From the graph, when $x=10$ weeks, $y=21$ years. Substitute into $y=kx$:
$21 = k \times 10$
Solve for $k$: $k = \frac{21}{10} = 2.1$

Step3: Write the final equation

Substitute $k$ back into the proportional form.

Answer:

$y=\frac{21}{10}x$