Question

in a flash of sheer brilliance, jim invents a time machine! the machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. this table shows the relationship between how many years jim wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y.

x (years)	y (megawatts)
15	375
21	525
24	600

according to the values in the table, do x and y have a proportional relationship? yes no

Explanation:

Step1: Calculate the ratio for each pair.

For the first pair $(x = 11,y = 275)$, the ratio is $\frac{y}{x}=\frac{275}{11}=25$.

Step2: Check other pairs.

For the second pair $(x = 15,y = 375)$, $\frac{y}{x}=\frac{375}{15}=25$.
For the third pair $(x = 21,y = 525)$, $\frac{y}{x}=\frac{525}{21}=25$.
For the fourth pair $(x = 24,y = 600)$, $\frac{y}{x}=\frac{600}{24}=25$.

Answer:

yes