Question

in a flash of sheer brilliance, lee 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 lee wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y.

x (years)	y (megawatts)
7	14
9	18
10	20

write an equation for the relationship between x and y. simplify any fractions.
y =

Explanation:

Step1: Find the constant of proportionality

For a proportional relationship $y = kx$, we can find $k$ (the constant of proportionality) by taking the ratio of $y$ to $x$. Using the first - row of the table where $x = 5$ and $y=10$, $k=\frac{y}{x}=\frac{10}{5}=2$.

Step2: Write the equation

Since $k = 2$, the equation for the proportional relationship is $y=2x$.

Answer:

$y = 2x$