Question

read the description of a proportional relationship.
in a flash of sheer brilliance, donald 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 donald wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y.
to travel back 5 years, donalds time machine needs 10 megawatts of electricity. write the equation for the relationship between x and y.
y =

Explanation:

Step1: Recall the proportional relationship formula

The formula for a proportional relationship is \(y = kx\), where \(k\) is the constant of proportionality.

Step2: Find the value of \(k\)

We know that when \(x = 5\), \(y=10\). Substitute these values into \(y = kx\): \(10=k\times5\). Solving for \(k\), we get \(k=\frac{10}{5}=2\).

Answer:

\(y = 2x\)