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7nadin3 [17]
2 years ago
11

Help please on this algebra! quick

Mathematics
2 answers:
Fudgin [204]2 years ago
5 0

Answer:

hope this helped!

Step-by-step explanation:

1. y

2. x

3. independent :  dependent  :

4. independent :  dependent :

have a great rest of your day!

Leviafan [203]2 years ago
4 0

Answer:

p p p p p p p p p p

Step-by-step explanation:

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Step-by-step explanation:

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
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Answer:

a)  y=12000(2)^{\frac{t}{50}}

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Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

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Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

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Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

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