Question

1. after 2 hours of steady snow fall, 4 inches of snow has fallen. how much time does it take for 1 inch of snow to fall? 8) using the information above, how much snow has fallen after x hours?

Explanation:

Step1: Find snow - fall rate

Given 4 inches of snow fall in 2 hours. The rate of snow - fall $r=\frac{4}{2}=2$ inches per hour.

Step2: Solve for time per inch

To find the time it takes for 1 inch of snow to fall, since rate $r = 2$ inches per hour, and time $t=\frac{1}{r}$. So $t=\frac{1}{2}$ hour. Since 1 hour = 60 minutes, $\frac{1}{2}\times60 = 30$ minutes.

Step3: Find snow - fall amount after x hours

We know the rate of snow - fall is 2 inches per hour. Let the amount of snow fallen be $S$ and the time be $x$ hours. Using the formula $S=rt$ (where $r$ is the rate and $t$ is the time), we substitute $r = 2$ and $t=x$. So $S = 2x$.

Answer:

1. 30 minutes
2. $S = 2x$