A bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 4 hours?
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Answer:
Step-by-step explanation:
Make a system of equations
Give the hot and cold faucets variables
Set x to be the minutes it takes for the hot water faucet to fill up the tub and Set y to be the minutes it takes for the cold water faucet to fill up the tub
She first equation is x = 2y because the hot faucet takes <em>2 times</em> as much time as the cold water
The second equation is x + y = 5 because if you add the number of minutes each takes to fill a tub, it will add up to 5 minutes
Now you have the equations
x = 2y
x + y = 5
So you can plug the first equation in for x in the second one to make
2y + y = 5
which equals 3y = 5
Then you divide 3 from both sides to get
y =
Since y is the number of minutes the cold water faucet takes to fill the tub, then the cold faucet takes minutes for the cold water faucet to fill the tub itself