Question

It is Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps out of the house to walk the dog. In half an hour, the bucket is 1/5 of the way full. What is the rate at which the water is leaking per hour? Write an equation that represents the relationship between the number of buckets filled, y, in x hours. What is the longest that Jeremy can be away from the house before the bucket will over flow?

Answer 1

The answer is
A "For every half an hour there is 1/5 of the bucket is filled" Hope I helped
B: Not sure not very good at equations :(
C: Well there is Half an hour so if you multiply that by 5 then its. 2 1/2 hours :)
Hope I helped

Answer 2

Using work = rate x time

let the bucket be 1 and and its 1/5 way full

therefore workdone by the bucket is 1 x 1/5 = 1/5

time = 1/2 hour

from work = rate x time

make rate the subject of the formula

rate = work/time

rate = 1/5 divided by 1/2

rate 1/5 x 2/1

rate = 2/5 drip/hour

2. The equation can be written as

let the bucket be y and time be x in hours

y is directly proportional to x

y = rx

where r is the constant and its rate.

3. if it takes 1/2 hour to fill 1/5 of the full bucket

then, let x be the number of hours to fill one bucket

mathematically,

1/2 ........................................ 1/5

x ............................................ 1

introducing cross multiply

1/2 multiply by 1 = 1/5 multiply by x

1/2 = x/5

5*1 = 2*x

5= 2x

divide both sides by 2

5/2= 2x/2

x= 5/2 or

therefore, it will take jeremy 2.5 hours long before the bucket will overflow