Question

A large bucket that is a full of water has a small leak on the bottom. The bucket loses water at the rate of 0.5 gallons per min. After 6 mins the bucket contains exactly 9 gallons of water. How many minutes does it take for the bucket to lose 7.5 gallons of water? what is the total of minutes it will take for the bucket to be completely empty?

Answer 1

@Michele_Laino can you help me with these last two questions

Answer 2

we know that the equation which models such problem is:
\(y=12-0.5x\)
so, in order to answer to the second part, we have to replqace \(y=0\), so we get:
\(0=12-0.5x\)
please solve for \(x\)

Answer 3

24

Answer 4

correct!

Answer 5

so is that to first question or second

Answer 6

it is for second part, after 24 minutes, the bucket will be empty

Answer 7

ok

Answer 8

for first part, here is my reasoning:
if the bucket lose 0.5 gallons per minutes, then time (in minutes) needed to lose 7.5 gallon, is:
\[\Large \frac{{7.5}}{{0.5}} = ...?\]

Answer 9

oops.. loses*

Answer 10

is it 15?

Answer 11

that's right!

Answer 12

thank you so much u better be glade u real smart in math

Answer 13

thanks!! :) :)