Question

read the description of a proportional relationship. in a flash of sheer brilliance, jaylen invents a time machine! the machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. there is a proportional relationship between how many years jaylen wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y. to travel back 6 years, jaylens time machine needs 12 megawatts of electricity. write the equation for the relationship between x and y. y =

Explanation:

Step1: Recall the form of a proportional relationship

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

Step2: Find the constant of proportionality $k$

We know that when $x = 6$ (years) and $y=12$ (megawatts). Substitute into $y = kx$: $12=k\times6$. Solving for $k$, we get $k=\frac{12}{6}=2$.

Step3: Write the equation

Substitute $k = 2$ into $y = kx$. The equation is $y = 2x$.

Answer:

$2x$