In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.
In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.
Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.
Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,
Weight ∝ Depth
W∝D
Introducing the constant to remove the proportionality we will get the equation as,
W = kD
1800pounds = k × 0.5 inches
3600ponds/inches = k
Now, the weight of the roof whose depth is 1.75 inches can be written as,
W = kD
W = 3600 × 1.75
W = 6,300 pounds
Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.
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