Question

the relationship is proportional, so we can connect the points on a graph with a straight line that passes through the origin. use your graph to complete the sentences below about this situation.

time in hours, x	amount of snow in inches, y
2	12
4	24
5	30

it snowed \boxed{} inches in 6 hours.

it snowed 18 inches in \boxed{} hours.

Explanation:

Step1: Find the rate of snowfall

From the table, when \( x = 2 \) hours, \( y = 12 \) inches. The rate \( r=\frac{y}{x}=\frac{12}{2} = 6 \) inches per hour.

Step2: Calculate snow in 6 hours

Using the rate, for \( x = 6 \) hours, \( y=r\times x=6\times6 = 36 \) inches.

Step3: Calculate time for 18 inches

For \( y = 18 \) inches, \( x=\frac{y}{r}=\frac{18}{6}=3 \) hours.

Answer:

It snowed \(\boldsymbol{36}\) inches in 6 hours.
It snowed 18 inches in \(\boldsymbol{3}\) hours.