Question

1. in a flash of sheer brilliance, anne invents a time machine! the machine uses a small nuclear reactor to generate the electricity it needs to travel back in time.
2. there is a proportional relationship between how many years anne wants to travel back in time, x, and how much electricity (in megawatts) her time machine needs, y.
3. x (years) | y (megawatts)

5 | 60
6 | 72
7 | 84
8 | 96

1. what is the constant of proportionality? write your answer as a whole number or decimal.

megawatts per year

Explanation:

Step1: Recall proportionality formula

For proportional relationship $y = kx$, $k=\frac{y}{x}$

Step2: Calculate k with first data pair

Use $x=5$, $y=60$: $\frac{60}{5}=12$

Step3: Verify with second data pair

Use $x=6$, $y=72$: $\frac{72}{6}=12$

Step4: Verify with third data pair

Use $x=7$, $y=84$: $\frac{84}{7}=12$

Step5: Verify with fourth data pair

Use $x=8$, $y=96$: $\frac{96}{8}=12$

Answer:

12 megawatts per year