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.
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 \(y = kx\), where \(k\) is the constant of proportionality. Using the first pair \((x = 5,y = 10)\), we find \(k=\frac{y}{x}\).
\(k=\frac{10}{5}=2\)

Step2: Write the equation

Substitute \(k = 2\) into the equation \(y=kx\).

Answer:

\(y = 2x\)